61264200 has 48 divisors (see below), whose sum is σ = 189920880. Its totient is φ = 16336960.

The previous prime is 61264187. The next prime is 61264223. The reversal of 61264200 is 246216.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50454 + ... + 51653.

It is an arithmetic number, because the mean of its divisors is an integer number (3956685).

Almost surely, 2^61264200 is an apocalyptic number.

61264200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61264200 is an abundant number, since it is smaller than the sum of its proper divisors (128656680).

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

61264200 is a wasteful number, since it uses less digits than its factorization.

61264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102126 (or 102117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 61264200 is about 7827.1450733968. The cubic root of 61264200 is about 394.2172181251.

The spelling of 61264200 in words is "sixty-one million, two hundred sixty-four thousand, two hundred".