846240 has 96 divisors (see below), whose sum is σ = 2794176. Its totient is φ = 215040.

The previous prime is 846233. The next prime is 846247. The reversal of 846240 is 42648.

846240 = T₁₇₁ + T₁₇₂ + ... + T₂₁₅.

It is an interprime number because it is at equal distance from previous prime (846233) and next prime (846247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×846240² = 1432244275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 846240.

It is not an unprimeable number, because it can be changed into a prime (846247) by changing a digit.

846240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19659 + ... + 19701.

It is an arithmetic number, because the mean of its divisors is an integer number (29106).

2⁸⁴⁶²⁴⁰ is an apocalyptic number.

846240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088).

846240 is an abundant number, since it is smaller than the sum of its proper divisors (1947936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

846240 is a wasteful number, since it uses less digits than its factorization.

846240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 846240 is about 919.9130393684. The cubic root of 846240 is about 94.5869416276.

Adding to 846240 its reverse (42648), we get a palindrome (888888).

The spelling of 846240 in words is "eight hundred forty-six thousand, two hundred forty".