975046720 has 112 divisors (see below), whose sum is σ = 2412845568. Its totient is φ = 374906880.

The previous prime is 975046703. The next prime is 975046727. The reversal of 975046720 is 27640579.

It is a super-4 number, since 4×975046720⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (975046727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251624 + ... + 2252056.

It is an arithmetic number, because the mean of its divisors is an integer number (21543264).

Almost surely, 2^975046720 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 975046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206422784).

975046720 is an abundant number, since it is smaller than the sum of its proper divisors (1437798848).

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

975046720 is a wasteful number, since it uses less digits than its factorization.

975046720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 975046720 is about 31225.7381017647. The cubic root of 975046720 is about 991.6120795067.

The spelling of 975046720 in words is "nine hundred seventy-five million, forty-six thousand, seven hundred twenty".