965579940 has 576 divisors, whose sum is σ = 3698472960. Its totient is φ = 209018880.

The previous prime is 965579939. The next prime is 965579963. The reversal of 965579940 is 49975569.

965579940 is a `hidden beast` number, since 9 + 65 + 579 + 9 + 4 + 0 = 666.

965579940 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1479 × 465 × 1404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31147725 + ... + 31147755.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^965579940 is an apocalyptic number.

965579940 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 965579940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

965579940 is an abundant number, since it is smaller than the sum of its proper divisors (2732893020).

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

965579940 is a wasteful number, since it uses less digits than its factorization.

965579940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 965579940 is about 31073.7821965721. The cubic root of 965579940 is about 988.3924323577.

The spelling of 965579940 in words is "nine hundred sixty-five million, five hundred seventy-nine thousand, nine hundred forty".