962724042 has 80 divisors (see below), whose sum is σ = 2610463680. Its totient is φ = 258878592.

The previous prime is 962724031. The next prime is 962724083. The reversal of 962724042 is 240427269.

962724042 is a `hidden beast` number, since 9 + 627 + 24 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 962723988 and 962724006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5692 + ... + 44247.

It is an arithmetic number, because the mean of its divisors is an integer number (32630796).

Almost surely, 2^962724042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962724042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305231840).

962724042 is an abundant number, since it is smaller than the sum of its proper divisors (1647739638).

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

962724042 is a wasteful number, since it uses less digits than its factorization.

962724042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49977 (or 49968 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 962724042 is about 31027.7946686515. The cubic root of 962724042 is about 987.4170132046.

The spelling of 962724042 in words is "nine hundred sixty-two million, seven hundred twenty-four thousand, forty-two".