36960880 has 80 divisors (see below), whose sum is σ = 94931424. Its totient is φ = 13271040.

The previous prime is 36960863. The next prime is 36960881. The reversal of 36960880 is 8806963.

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

It is a super-2 number, since 2×36960880² = 2732213300748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36960881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85144 + ... + 85576.

Almost surely, 2^36960880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47465712).

36960880 is an abundant number, since it is smaller than the sum of its proper divisors (57970544).

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

36960880 is a wasteful number, since it uses less digits than its factorization.

36960880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 36960880 is about 6079.5460356839. The cubic root of 36960880 is about 333.1047054459.

The spelling of 36960880 in words is "thirty-six million, nine hundred sixty thousand, eight hundred eighty".