975368520 has 256 divisors, whose sum is σ = 3792960000. Its totient is φ = 222856704.

The previous prime is 975368503. The next prime is 975368599. The reversal of 975368520 is 25863579.

It is a happy number.

975368520 is a `hidden beast` number, since 97 + 5 + 36 + 8 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 369124 + ... + 371756.

It is an arithmetic number, because the mean of its divisors is an integer number (14816250).

Almost surely, 2^975368520 is an apocalyptic number.

975368520 is a gapful number since it is divisible by the number (90) 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 975368520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896480000).

975368520 is an abundant number, since it is smaller than the sum of its proper divisors (2817591480).

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

975368520 is a wasteful number, since it uses less digits than its factorization.

975368520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 975368520 is about 31230.8904772182. The cubic root of 975368520 is about 991.7211565599.

The spelling of 975368520 in words is "nine hundred seventy-five million, three hundred sixty-eight thousand, five hundred twenty".