36810720 has 96 divisors (see below), whose sum is σ = 128852640. Its totient is φ = 9815040.

The previous prime is 36810713. The next prime is 36810751. The reversal of 36810720 is 2701863.

36810720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60 + ... + 8580.

It is an arithmetic number, because the mean of its divisors is an integer number (1342215).

Almost surely, 2^36810720 is an apocalyptic number.

36810720 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 36810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64426320).

36810720 is an abundant number, since it is smaller than the sum of its proper divisors (92041920).

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

36810720 is a wasteful number, since it uses less digits than its factorization.

36810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 36810720 is about 6067.1838607380. The cubic root of 36810720 is about 332.6529945845.

The spelling of 36810720 in words is "thirty-six million, eight hundred ten thousand, seven hundred twenty".