975666384 has 240 divisors, whose sum is σ = 3531440640. Its totient is φ = 253342080.

The previous prime is 975666383. The next prime is 975666407. The reversal of 975666384 is 483666579.

It is a super-3 number, since 3×975666384³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 975666384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975666383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297747 + ... + 301005.

It is an arithmetic number, because the mean of its divisors is an integer number (14714336).

Almost surely, 2^975666384 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 975666384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765720320).

975666384 is an abundant number, since it is smaller than the sum of its proper divisors (2555774256).

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

975666384 is a wasteful number, since it uses less digits than its factorization.

975666384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3282 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 975666384 is about 31235.6588533042. The cubic root of 975666384 is about 991.8220989078.

The spelling of 975666384 in words is "nine hundred seventy-five million, six hundred sixty-six thousand, three hundred eighty-four".