121627638 has 48 divisors (see below), whose sum is σ = 288265536. Its totient is φ = 36756720.

The previous prime is 121627577. The next prime is 121627669. The reversal of 121627638 is 836726121.

121627638 is a `hidden beast` number, since 1 + 2 + 16 + 2 + 7 + 638 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107745 + ... + 108867.

It is an arithmetic number, because the mean of its divisors is an integer number (6005532).

Almost surely, 2^121627638 is an apocalyptic number.

121627638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

121627638 is an abundant number, since it is smaller than the sum of its proper divisors (166637898).

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

121627638 is a wasteful number, since it uses less digits than its factorization.

121627638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1686 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 121627638 is about 11028.4921000108. The cubic root of 121627638 is about 495.4624634229.

It can be divided in two parts, 121627 and 638, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 121627638 in words is "one hundred twenty-one million, six hundred twenty-seven thousand, six hundred thirty-eight".