61613928 has 48 divisors (see below), whose sum is σ = 168370020. Its totient is φ = 20353536.

The previous prime is 61613927. The next prime is 61613947. The reversal of 61613928 is 82931616.

61613928 is a `hidden beast` number, since 616 + 1 + 39 + 2 + 8 = 666.

61613928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61496964 + 116964 = 7842^2 + 342^2 .

It is a super-2 number, since 2×61613928² = 7592552247178368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61613892 and 61613901.

It is not an unprimeable number, because it can be changed into a prime (61613927) 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 11 ways as a sum of consecutive naturals, for example, 4350 + ... + 11922.

Almost surely, 2^61613928 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 61613928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84185010).

61613928 is an abundant number, since it is smaller than the sum of its proper divisors (106756092).

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

61613928 is a wasteful number, since it uses less digits than its factorization.

61613928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7691 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61613928 is about 7849.4539937501. The cubic root of 61613928 is about 394.9659277346.

The spelling of 61613928 in words is "sixty-one million, six hundred thirteen thousand, nine hundred twenty-eight".