36996960 has 432 divisors, whose sum is σ = 160474608. Its totient is φ = 7096320.

The previous prime is 36996937. The next prime is 36996977. The reversal of 36996960 is 6969963.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2845914 + ... + 2845926.

It is an arithmetic number, because the mean of its divisors is an integer number (371469).

Almost surely, 2^36996960 is an apocalyptic number.

36996960 is a gapful number since it is divisible by the number (30) 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 36996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80237304).

36996960 is an abundant number, since it is smaller than the sum of its proper divisors (123477648).

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

36996960 is a wasteful number, since it uses less digits than its factorization.

36996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 36996960 is about 6082.5126387045. The cubic root of 36996960 is about 333.2130588296.

The spelling of 36996960 in words is "thirty-six million, nine hundred ninety-six thousand, nine hundred sixty".