37620990 has 128 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 8910720.

The previous prime is 37620943. The next prime is 37620991. The reversal of 37620990 is 9902673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37620991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157291 + ... + 157529.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 2^37620990 is an apocalyptic number.

37620990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37620990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

37620990 is an abundant number, since it is smaller than the sum of its proper divisors (74353410).

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

37620990 is a wasteful number, since it uses less digits than its factorization.

37620990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

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

The square root of 37620990 is about 6133.5951936853. The cubic root of 37620990 is about 335.0760650026.

The spelling of 37620990 in words is "thirty-seven million, six hundred twenty thousand, nine hundred ninety".