61310628 has 96 divisors (see below), whose sum is σ = 166409600. Its totient is φ = 19502208.

The previous prime is 61310603. The next prime is 61310629. The reversal of 61310628 is 82601316.

61310628 is a `hidden beast` number, since 6 + 1 + 31 + 0 + 628 = 666.

61310628 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 not an unprimeable number, because it can be changed into a prime (61310629) 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, 267618 + ... + 267846.

Almost surely, 2^61310628 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 61310628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83204800).

61310628 is an abundant number, since it is smaller than the sum of its proper divisors (105098972).

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

61310628 is a wasteful number, since it uses less digits than its factorization.

61310628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61310628 is about 7830.1103440501. The cubic root of 61310628 is about 394.3167765158.

Subtracting from 61310628 its product of nonzero digits (1728), we obtain a square (61308900 = 7830²).

The spelling of 61310628 in words is "sixty-one million, three hundred ten thousand, six hundred twenty-eight".