61279920 has 120 divisors (see below), whose sum is σ = 221662896. Its totient is φ = 15081984.

The previous prime is 61279817. The next prime is 61279931. The reversal of 61279920 is 2997216.

61279920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

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

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 23 ways as a sum of consecutive naturals, for example, 6087 + ... + 12633.

Almost surely, 2^61279920 is an apocalyptic number.

61279920 is a gapful number since it is divisible by the number (60) 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 61279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110831448).

61279920 is an abundant number, since it is smaller than the sum of its proper divisors (160382976).

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

61279920 is a wasteful number, since it uses less digits than its factorization.

61279920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61279920 is about 7828.1492065494. The cubic root of 61279920 is about 394.2509331098.

The spelling of 61279920 in words is "sixty-one million, two hundred seventy-nine thousand, nine hundred twenty".