36988080 has 80 divisors (see below), whose sum is σ = 115334880. Its totient is φ = 9805824.

The previous prime is 36988069. The next prime is 36988111. The reversal of 36988080 is 8088963.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54624 + ... + 55296.

It is an arithmetic number, because the mean of its divisors is an integer number (1441686).

Almost surely, 2^36988080 is an apocalyptic number.

36988080 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 36988080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57667440).

36988080 is an abundant number, since it is smaller than the sum of its proper divisors (78346800).

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

36988080 is a wasteful number, since it uses less digits than its factorization.

36988080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 36988080 is about 6081.7826334061. The cubic root of 36988080 is about 333.1863974613.

The spelling of 36988080 in words is "thirty-six million, nine hundred eighty-eight thousand, eighty".