61629875 has 16 divisors (see below), whose sum is σ = 77900160. Its totient is φ = 48679800.

The previous prime is 61629859. The next prime is 61629877. The reversal of 61629875 is 57892616.

The cubic root of 61629875 is 395.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 61629875 - 2⁴ = 61629859 is a prime.

Its product of digits (181440) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61629877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780086 + ... + 780164.

It is an arithmetic number, because the mean of its divisors is an integer number (4868760).

Almost surely, 2^61629875 is an apocalyptic number.

61629875 is a deficient number, since it is larger than the sum of its proper divisors (16270285).

61629875 is an frugal number, since it uses more digits than its factorization.

61629875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 84 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 61629875 is about 7850.4697311690.

The spelling of 61629875 in words is "sixty-one million, six hundred twenty-nine thousand, eight hundred seventy-five".