61214976 has 81 divisors (see below), whose sum is σ = 177587319. Its totient is φ = 20279808.

The previous prime is 61214971. The next prime is 61215023. The reversal of 61214976 is 67941216.

The square root of 61214976 is 7824.

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

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 61214976.

It is not an unprimeable number, because it can be changed into a prime (61214971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 375471 + ... + 375633.

Almost surely, 2^61214976 is an apocalyptic number.

61214976 is the 7824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61214976

61214976 is an abundant number, since it is smaller than the sum of its proper divisors (116372343).

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

61214976 is an equidigital number, since it uses as much as digits as its factorization.

61214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 168 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The cubic root of 61214976 is about 394.1116091519. Note that the first 3 decimals are identical.

Multiplying 61214976 by its sum of digits (36), we get a square (2203739136 = 46944²).

61214976 divided by its sum of digits (36) gives a square (1700416 = 1304²).

The spelling of 61214976 in words is "sixty-one million, two hundred fourteen thousand, nine hundred seventy-six".