37668906 has 144 divisors (see below), whose sum is σ = 102705408. Its totient is φ = 9849600.

The previous prime is 37668881. The next prime is 37668907. The reversal of 37668906 is 60986673.

It is not an unprimeable number, because it can be changed into a prime (37668907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1215111 + ... + 1215141.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^37668906 is an apocalyptic number.

It is a pronic number, being equal to 6137×6138.

It is a practical number, because each smaller number is the sum of distinct divisors of 37668906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704).

37668906 is an abundant number, since it is smaller than the sum of its proper divisors (65036502).

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

37668906 is a wasteful number, since it uses less digits than its factorization.

37668906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 37668906 is about 6137.4999796334. The cubic root of 37668906 is about 335.2182612710.

The spelling of 37668906 in words is "thirty-seven million, six hundred sixty-eight thousand, nine hundred six".