36496080 has 120 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 9643008.

The previous prime is 36496073. The next prime is 36496091. The reversal of 36496080 is 8069463.

36496080 is a `hidden beast` number, since 3 + 6 + 49 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20142144 + 16353936 = 4488^2 + 4044^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 124414 + ... + 124706.

Almost surely, 2^36496080 is an apocalyptic number.

36496080 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 36496080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847604).

36496080 is an abundant number, since it is smaller than the sum of its proper divisors (87199128).

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

36496080 is a wasteful number, since it uses less digits than its factorization.

36496080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36496080 is about 6041.1985565780. The cubic root of 36496080 is about 331.7024963467.

The spelling of 36496080 in words is "thirty-six million, four hundred ninety-six thousand, eighty".