37668096 has 54 divisors (see below), whose sum is σ = 108613050. Its totient is φ = 12555264.

The previous prime is 37668083. The next prime is 37668097. The reversal of 37668096 is 69086673.

It can be written as a sum of positive squares in only one way, i.e., 26378496 + 11289600 = 5136^2 + 3360^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37668097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5871 + ... + 10478.

Almost surely, 2^37668096 is an apocalyptic number.

37668096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

37668096 is an abundant number, since it is smaller than the sum of its proper divisors (70944954).

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

37668096 is a wasteful number, since it uses less digits than its factorization.

37668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16371 (or 16354 counting only the distinct ones).

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

The square root of 37668096 is about 6137.4339914984. The cubic root of 37668096 is about 335.2158585047.

The spelling of 37668096 in words is "thirty-seven million, six hundred sixty-eight thousand, ninety-six".