965157120 has 432 divisors, whose sum is σ = 3615917760. Its totient is φ = 246177792.

The previous prime is 965157113. The next prime is 965157121. The reversal of 965157120 is 21751569.

965157120 is a `hidden beast` number, since 9 + 65 + 1 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (965157121) 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, 9020107 + ... + 9020213.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^965157120 is an apocalyptic number.

965157120 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 965157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807958880).

965157120 is an abundant number, since it is smaller than the sum of its proper divisors (2650760640).

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

965157120 is a wasteful number, since it uses less digits than its factorization.

965157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 965157120 is about 31066.9779669668. The cubic root of 965157120 is about 988.2481414896.

The spelling of 965157120 in words is "nine hundred sixty-five million, one hundred fifty-seven thousand, one hundred twenty".