61402896 has 45 divisors (see below), whose sum is σ = 172106389. Its totient is φ = 20436288.

The previous prime is 61402877. The next prime is 61402897. The reversal of 61402896 is 69820416.

The square root of 61402896 is 7836.

It is a perfect power (a square), and thus also a powerful number.

61402896 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 only one way, i.e., 14288400 + 47114496 = 3780^2 + 6864^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61402896.

It is not an unprimeable number, because it can be changed into a prime (61402897) 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 8 ways as a sum of consecutive naturals, for example, 93706 + ... + 94358.

Almost surely, 2^61402896 is an apocalyptic number.

61402896 is the 7836-th square number.

It is an amenable number.

61402896 is an abundant number, since it is smaller than the sum of its proper divisors (110703493).

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

61402896 is an equidigital number, since it uses as much as digits as its factorization.

61402896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 61402896 is about 394.5144833170.

Multiplying 61402896 by its sum of digits (36), we get a square (2210504256 = 47016²).

61402896 divided by its sum of digits (36) gives a square (1705636 = 1306²).

Multiplying 61402896 by its product of nonzero digits (20736), we get a square (1273250451456 = 1128384²).

The spelling of 61402896 in words is "sixty-one million, four hundred two thousand, eight hundred ninety-six".