61638705 has 32 divisors (see below), whose sum is σ = 110920320. Its totient is φ = 32472000.

The previous prime is 61638683. The next prime is 61638713. The reversal of 61638705 is 50783616.

61638705 is a `hidden beast` number, since 616 + 38 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 61638705 - 2¹⁸ = 61376561 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 61638705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8455 + ... + 13955.

It is an arithmetic number, because the mean of its divisors is an integer number (3466260).

Almost surely, 2^61638705 is an apocalyptic number.

It is an amenable number.

61638705 is a deficient number, since it is larger than the sum of its proper divisors (49281615).

61638705 is a wasteful number, since it uses less digits than its factorization.

61638705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 61638705 is about 7851.0320977563. The cubic root of 61638705 is about 395.0188635973.

The spelling of 61638705 in words is "sixty-one million, six hundred thirty-eight thousand, seven hundred five".