975206640 has 80 divisors (see below), whose sum is σ = 3028618656. Its totient is φ = 259584000.

The previous prime is 975206633. The next prime is 975206651. The reversal of 975206640 is 46602579.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 140860 + ... + 147620.

Almost surely, 2^975206640 is an apocalyptic number.

975206640 is the 18030-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514309328).

975206640 is an abundant number, since it is smaller than the sum of its proper divisors (2053412016).

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

975206640 is a wasteful number, since it uses less digits than its factorization.

975206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 975206640 is about 31228.2987048606. The cubic root of 975206640 is about 991.6662888527. Note that the first 3 decimals are identical.

The spelling of 975206640 in words is "nine hundred seventy-five million, two hundred six thousand, six hundred forty".