61612124 has 48 divisors (see below), whose sum is σ = 133056000. Its totient is φ = 24378816.

The previous prime is 61612123. The next prime is 61612139. The reversal of 61612124 is 42121616.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 61612124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61612123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17027 + ... + 20325.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2^61612124 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 61612124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

61612124 is an abundant number, since it is smaller than the sum of its proper divisors (71443876).

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

61612124 is a wasteful number, since it uses less digits than its factorization.

61612124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3360 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 61612124 is about 7849.3390804577. The cubic root of 61612124 is about 394.9620729487.

The spelling of 61612124 in words is "sixty-one million, six hundred twelve thousand, one hundred twenty-four".