61715200 has 54 divisors (see below), whose sum is σ = 152770604. Its totient is φ = 24683520.

The previous prime is 61715177. The next prime is 61715201. The reversal of 61715200 is 251716.

It is a super-2 number, since 2×61715200² = 7617531822080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61715201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1579 + ... + 11221.

Almost surely, 2^61715200 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 61715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76385302).

61715200 is an abundant number, since it is smaller than the sum of its proper divisors (91055404).

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

61715200 is an equidigital number, since it uses as much as digits as its factorization.

61715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9650 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 61715200 is about 7855.9022397176. The cubic root of 61715200 is about 395.1822051028.

Adding to 61715200 its reverse (251716), we get a palindrome (61966916).

The spelling of 61715200 in words is "sixty-one million, seven hundred fifteen thousand, two hundred".