840726432 has 576 divisors, whose sum is σ = 3292611840. Its totient is φ = 203046912.

The previous prime is 840726431. The next prime is 840726437. The reversal of 840726432 is 234627048.

840726432 is a `hidden beast` number, since 8 + 4 + 0 + 7 + 2 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (840726431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22722318 + ... + 22722354.

It is an arithmetic number, because the mean of its divisors is an integer number (5716340).

Almost surely, 2^840726432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646305920).

840726432 is an abundant number, since it is smaller than the sum of its proper divisors (2451885408).

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

840726432 is a wasteful number, since it uses less digits than its factorization.

840726432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 840726432 is about 28995.2829267107. The cubic root of 840726432 is about 943.8107084787.

The spelling of 840726432 in words is "eight hundred forty million, seven hundred twenty-six thousand, four hundred thirty-two".