61288800 has 72 divisors (see below), whose sum is σ = 199502856. Its totient is φ = 16343040.

The previous prime is 61288793. The next prime is 61288807. The reversal of 61288800 is 888216.

It is an interprime number because it is at equal distance from previous prime (61288793) and next prime (61288807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61288807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10369 + ... + 15168.

It is an arithmetic number, because the mean of its divisors is an integer number (2770873).

Almost surely, 2^61288800 is an apocalyptic number.

61288800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61288800 is an abundant number, since it is smaller than the sum of its proper divisors (138214056).

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

61288800 is a wasteful number, since it uses less digits than its factorization.

61288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25560 (or 25547 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 61288800 is about 7828.7163698783. The cubic root of 61288800 is about 394.2699756673.

The spelling of 61288800 in words is "sixty-one million, two hundred eighty-eight thousand, eight hundred".