36460080 has 120 divisors (see below), whose sum is σ = 124188480. Its totient is φ = 9584640.

The previous prime is 36460057. The next prime is 36460139. The reversal of 36460080 is 8006463.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56560 + ... + 57200.

It is an arithmetic number, because the mean of its divisors is an integer number (1034904).

Almost surely, 2^36460080 is an apocalyptic number.

36460080 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 36460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62094240).

36460080 is an abundant number, since it is smaller than the sum of its proper divisors (87728400).

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

36460080 is a wasteful number, since it uses less digits than its factorization.

36460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36460080 is about 6038.2182802545. The cubic root of 36460080 is about 331.5933958775.

The spelling of 36460080 in words is "thirty-six million, four hundred sixty thousand, eighty".