972059904 has 108 divisors (see below), whose sum is σ = 2829599136. Its totient is φ = 320910336.

The previous prime is 972059867. The next prime is 972059911. The reversal of 972059904 is 409950279.

It is a self number, because there is not a number n which added to its sum of digits gives 972059904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244557 + ... + 248499.

It is an arithmetic number, because the mean of its divisors is an integer number (26199992).

Almost surely, 2^972059904 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 972059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414799568).

972059904 is an abundant number, since it is smaller than the sum of its proper divisors (1857539232).

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

972059904 is a wasteful number, since it uses less digits than its factorization.

972059904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 972059904 is about 31177.8752322861. The cubic root of 972059904 is about 990.5985239057.

The spelling of 972059904 in words is "nine hundred seventy-two million, fifty-nine thousand, nine hundred four".