37920960 has 560 divisors, whose sum is σ = 177027840. Its totient is φ = 7464960.

The previous prime is 37920943. The next prime is 37920973. The reversal of 37920960 is 6902973.

It is a tau number, because it is divible by the number of its divisors (560).

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 (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1995831 + ... + 1995849.

Almost surely, 2^37920960 is an apocalyptic number.

37920960 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 37920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88513920).

37920960 is an abundant number, since it is smaller than the sum of its proper divisors (139106880).

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

37920960 is a wasteful number, since it uses less digits than its factorization.

37920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 37920960 is about 6157.9996752192. Note that the first 3 decimals coincide. The cubic root of 37920960 is about 335.9642819175.

The spelling of 37920960 in words is "thirty-seven million, nine hundred twenty thousand, nine hundred sixty".