37640568 has 64 divisors (see below), whose sum is σ = 108000000. Its totient is φ = 10708992.

The previous prime is 37640563. The next prime is 37640633. The reversal of 37640568 is 86504673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37640563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75183 + ... + 75681.

It is an arithmetic number, because the mean of its divisors is an integer number (1687500).

Almost surely, 2^37640568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37640568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000000).

37640568 is an abundant number, since it is smaller than the sum of its proper divisors (70359432).

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

37640568 is a wasteful number, since it uses less digits than its factorization.

37640568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 37640568 is about 6135.1909505736. The cubic root of 37640568 is about 335.1341795601.

The spelling of 37640568 in words is "thirty-seven million, six hundred forty thousand, five hundred sixty-eight".