61879400 has 72 divisors (see below), whose sum is σ = 158199510. Its totient is φ = 22492800.

The previous prime is 61879387. The next prime is 61879421. The reversal of 61879400 is 497816.

It can be written as a sum of positive squares in 3 ways, for example, as 43850884 + 18028516 = 6622^2 + 4246^2 .

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 17 ways as a sum of consecutive naturals, for example, 22922 + ... + 25478.

Almost surely, 2^61879400 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 61879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79099755).

61879400 is an abundant number, since it is smaller than the sum of its proper divisors (96320110).

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

61879400 is a wasteful number, since it uses less digits than its factorization.

61879400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 61879400 is about 7866.3460386637. The cubic root of 61879400 is about 395.5323698109.

The spelling of 61879400 in words is "sixty-one million, eight hundred seventy-nine thousand, four hundred".