974813664 has 96 divisors (see below), whose sum is σ = 2806562304. Its totient is φ = 293806080.

The previous prime is 974813647. The next prime is 974813687. The reversal of 974813664 is 466318479.

974813664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×974813664² = 1900523359042209792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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, 201417 + ... + 206199.

It is an arithmetic number, because the mean of its divisors is an integer number (29235024).

Almost surely, 2^974813664 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 974813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403281152).

974813664 is an abundant number, since it is smaller than the sum of its proper divisors (1831748640).

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

974813664 is a wasteful number, since it uses less digits than its factorization.

974813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4992 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 974813664 is about 31222.0060854520. The cubic root of 974813664 is about 991.5330680586.

The spelling of 974813664 in words is "nine hundred seventy-four million, eight hundred thirteen thousand, six hundred sixty-four".