36627968 has 40 divisors (see below), whose sum is σ = 78828288. Its totient is φ = 16902144.

The previous prime is 36627949. The next prime is 36627971. The reversal of 36627968 is 86972663.

36627968 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3905 + ... + 9407.

Almost surely, 2^36627968 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 36627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39414144).

36627968 is an abundant number, since it is smaller than the sum of its proper divisors (42200320).

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

36627968 is an equidigital number, since it uses as much as digits as its factorization.

36627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5518 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 36627968 is about 6052.1044273872. The cubic root of 36627968 is about 332.1015801812.

The spelling of 36627968 in words is "thirty-six million, six hundred twenty-seven thousand, nine hundred sixty-eight".