975882240 has 144 divisors (see below), whose sum is σ = 3382551900. Its totient is φ = 260210688.

The previous prime is 975882239. The next prime is 975882253. The reversal of 975882240 is 42288579.

975882240 is a `hidden beast` number, since 9 + 7 + 588 + 22 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 902882304 + 72999936 = 30048^2 + 8544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×975882240² = 1904692292694835200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86866 + ... + 97454.

Almost surely, 2^975882240 is an apocalyptic number.

975882240 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 975882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691275950).

975882240 is an abundant number, since it is smaller than the sum of its proper divisors (2406669660).

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

975882240 is a wasteful number, since it uses less digits than its factorization.

975882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10622 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 975882240 is about 31239.1139439005. The cubic root of 975882240 is about 991.8952369421.

The spelling of 975882240 in words is "nine hundred seventy-five million, eight hundred eighty-two thousand, two hundred forty".