61141920 has 192 divisors, whose sum is σ = 227598336. Its totient is φ = 13501440.

The previous prime is 61141919. The next prime is 61141931. The reversal of 61141920 is 2914116.

61141920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 103867 + ... + 104453.

It is an arithmetic number, because the mean of its divisors is an integer number (1185408).

Almost surely, 2^61141920 is an apocalyptic number.

61141920 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 61141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

61141920 is an abundant number, since it is smaller than the sum of its proper divisors (166456416).

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

61141920 is a wasteful number, since it uses less digits than its factorization.

61141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 61141920 is about 7819.3298945626. The cubic root of 61141920 is about 393.9547647484.

The spelling of 61141920 in words is "sixty-one million, one hundred forty-one thousand, nine hundred twenty".