862794240 has 320 divisors, whose sum is σ = 3441208320. Its totient is φ = 179159040.

The previous prime is 862794223. The next prime is 862794241. The reversal of 862794240 is 42497268.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 862794192 and 862794201.

It is not an unprimeable number, because it can be changed into a prime (862794241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590631 + ... + 592089.

It is an arithmetic number, because the mean of its divisors is an integer number (10753776).

Almost surely, 2^862794240 is an apocalyptic number.

862794240 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 862794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720604160).

862794240 is an abundant number, since it is smaller than the sum of its proper divisors (2578414080).

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

862794240 is a wasteful number, since it uses less digits than its factorization.

862794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 862794240 is about 29373.3593584391. The cubic root of 862794240 is about 951.9973636440.

The spelling of 862794240 in words is "eight hundred sixty-two million, seven hundred ninety-four thousand, two hundred forty".