61924880 has 40 divisors (see below), whose sum is σ = 152447832. Its totient is φ = 23312384.

The previous prime is 61924873. The next prime is 61924903. The reversal of 61924880 is 8842916.

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 49336576 = 3548^2 + 7024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 21407 + ... + 24126.

Almost surely, 2^61924880 is an apocalyptic number.

It is an amenable number.

61924880 is an abundant number, since it is smaller than the sum of its proper divisors (90522952).

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

61924880 is a wasteful number, since it uses less digits than its factorization.

61924880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45563 (or 45557 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 61924880 is about 7869.2363034795. The cubic root of 61924880 is about 395.6292486152.

The spelling of 61924880 in words is "sixty-one million, nine hundred twenty-four thousand, eight hundred eighty".