61413200 has 30 divisors (see below), whose sum is σ = 147546174. Its totient is φ = 24565120.

The previous prime is 61413199. The next prime is 61413211. The reversal of 61413200 is 231416.

It can be written as a sum of positive squares in 3 ways, for example, as 1567504 + 59845696 = 1252^2 + 7736^2 .

It is a super-2 number, since 2×61413200² = 7543162268480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76367 + ... + 77166.

Almost surely, 2^61413200 is an apocalyptic number.

It is an amenable number.

61413200 is an abundant number, since it is smaller than the sum of its proper divisors (86132974).

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

61413200 is a wasteful number, since it uses less digits than its factorization.

61413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153551 (or 153540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 61413200 is about 7836.6574507248. The cubic root of 61413200 is about 394.5365498651.

Adding to 61413200 its reverse (231416), we get a palindrome (61644616).

The spelling of 61413200 in words is "sixty-one million, four hundred thirteen thousand, two hundred".