972604416 has 176 divisors, whose sum is σ = 3060346880. Its totient is φ = 268738560.

The previous prime is 972604403. The next prime is 972604441. The reversal of 972604416 is 614406279.

It is a happy 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, 665895 + ... + 667353.

Almost surely, 2^972604416 is an apocalyptic number.

972604416 is a gapful number since it is divisible by the number (96) 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 972604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530173440).

972604416 is an abundant number, since it is smaller than the sum of its proper divisors (2087742464).

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

972604416 is a wasteful number, since it uses less digits than its factorization.

972604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 972604416 is about 31186.6063559343. The cubic root of 972604416 is about 990.7834549292.

The spelling of 972604416 in words is "nine hundred seventy-two million, six hundred four thousand, four hundred sixteen".