36523680 has 48 divisors (see below), whose sum is σ = 115051104. Its totient is φ = 9739520.

The previous prime is 36523649. The next prime is 36523691. The reversal of 36523680 is 8632563.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37566 + ... + 38525.

It is an arithmetic number, because the mean of its divisors is an integer number (2396898).

Almost surely, 2^36523680 is an apocalyptic number.

36523680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36523680 is an abundant number, since it is smaller than the sum of its proper divisors (78527424).

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

36523680 is a wasteful number, since it uses less digits than its factorization.

36523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76109 (or 76101 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 36523680 is about 6043.4824397859. The cubic root of 36523680 is about 331.7860914621.

The spelling of 36523680 in words is "thirty-six million, five hundred twenty-three thousand, six hundred eighty".