61612920 has 128 divisors (see below), whose sum is σ = 208008000. Its totient is φ = 16220160.

The previous prime is 61612891. The next prime is 61612921. The reversal of 61612920 is 2921616.

61612920 is a `hidden beast` number, since 616 + 1 + 29 + 20 = 666.

61612920 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61612921) by changing a digit.

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, 95800 + ... + 96440.

Almost surely, 2^61612920 is an apocalyptic number.

61612920 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 61612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104004000).

61612920 is an abundant number, since it is smaller than the sum of its proper divisors (146395080).

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

61612920 is a wasteful number, since it uses less digits than its factorization.

61612920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61612920 is about 7849.3897851999. The cubic root of 61612920 is about 394.9637738502.

The spelling of 61612920 in words is "sixty-one million, six hundred twelve thousand, nine hundred twenty".