36961920 has 320 divisors, whose sum is σ = 142179840. Its totient is φ = 9123840.

The previous prime is 36961919. The next prime is 36961933. The reversal of 36961920 is 2916963.

36961920 is a `hidden beast` number, since 36 + 9 + 619 + 2 + 0 = 666.

36961920 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 (320).

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

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 39 ways as a sum of consecutive naturals, for example, 1192305 + ... + 1192335.

It is an arithmetic number, because the mean of its divisors is an integer number (444312).

Almost surely, 2^36961920 is an apocalyptic number.

36961920 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 36961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089920).

36961920 is an abundant number, since it is smaller than the sum of its proper divisors (105217920).

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

36961920 is a wasteful number, since it uses less digits than its factorization.

36961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 36961920 is about 6079.6315677844. The cubic root of 36961920 is about 333.1078297010.

The spelling of 36961920 in words is "thirty-six million, nine hundred sixty-one thousand, nine hundred twenty".