975983040 has 448 divisors, whose sum is σ = 3669304320. Its totient is φ = 243855360.

The previous prime is 975983033. The next prime is 975983053. The reversal of 975983040 is 40389579.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13746205 + ... + 13746275.

Almost surely, 2^975983040 is an apocalyptic number.

975983040 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 975983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834652160).

975983040 is an abundant number, since it is smaller than the sum of its proper divisors (2693321280).

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

975983040 is a wasteful number, since it uses less digits than its factorization.

975983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 975983040 is about 31240.7272642620. The cubic root of 975983040 is about 991.9293871000.

The spelling of 975983040 in words is "nine hundred seventy-five million, nine hundred eighty-three thousand, forty".