36642456 has 112 divisors (see below), whose sum is σ = 105714960. Its totient is φ = 11897280.

The previous prime is 36642449. The next prime is 36642503. The reversal of 36642456 is 65424663.

36642456 is a `hidden beast` number, since 3 + 6 + 642 + 4 + 5 + 6 = 666.

36642456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36642456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 355701 + ... + 355803.

Almost surely, 2^36642456 is an apocalyptic number.

36642456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36642456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52857480).

36642456 is an abundant number, since it is smaller than the sum of its proper divisors (69072504).

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

36642456 is a wasteful number, since it uses less digits than its factorization.

36642456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 36642456 is about 6053.3012480794. The cubic root of 36642456 is about 332.1453614201.

The spelling of 36642456 in words is "thirty-six million, six hundred forty-two thousand, four hundred fifty-six".