8406240 has 96 divisors (see below), whose sum is σ = 26925696. Its totient is φ = 2204160.

The previous prime is 8406221. The next prime is 8406253. The reversal of 8406240 is 426048.

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

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

It is a d-powerful number, because it can be written as 8 + 4⁵ + 0 + 6³ + 2²³ + 4⁷ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 8406240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39735 + ... + 39945.

It is an arithmetic number, because the mean of its divisors is an integer number (280476).

Almost surely, 2^8406240 is an apocalyptic number.

8406240 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 8406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462848).

8406240 is an abundant number, since it is smaller than the sum of its proper divisors (18519456).

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

8406240 is a wasteful number, since it uses less digits than its factorization.

8406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

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

The square root of 8406240 is about 2899.3516516628. The cubic root of 8406240 is about 203.3295947236.

It can be divided in two parts, 8406 and 240, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 8406240 in words is "eight million, four hundred six thousand, two hundred forty".