36496320 has 112 divisors (see below), whose sum is σ = 132453888. Its totient is φ = 8340480.

The previous prime is 36496301. The next prime is 36496349. The reversal of 36496320 is 2369463.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 4005 + ... + 9435.

It is an arithmetic number, because the mean of its divisors is an integer number (1182624).

Almost surely, 2^36496320 is an apocalyptic number.

36496320 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 36496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66226944).

36496320 is an abundant number, since it is smaller than the sum of its proper divisors (95957568).

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

36496320 is a wasteful number, since it uses less digits than its factorization.

36496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 36496320 is about 6041.2184201533. The cubic root of 36496320 is about 331.7032234423.

The spelling of 36496320 in words is "thirty-six million, four hundred ninety-six thousand, three hundred twenty".