975352560 has 640 divisors, whose sum is σ = 4103737344. Its totient is φ = 185794560.

The previous prime is 975352549. The next prime is 975352571. The reversal of 975352560 is 65253579.

It is an interprime number because it is at equal distance from previous prime (975352549) and next prime (975352571).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13737325 + ... + 13737395.

Almost surely, 2^975352560 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 975352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051868672).

975352560 is an abundant number, since it is smaller than the sum of its proper divisors (3128384784).

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

975352560 is a wasteful number, since it uses less digits than its factorization.

975352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The square root of 975352560 is about 31230.6349599236. The cubic root of 975352560 is about 991.7157473374.

The spelling of 975352560 in words is "nine hundred seventy-five million, three hundred fifty-two thousand, five hundred sixty".