61087200 has 72 divisors (see below), whose sum is σ = 198846648. Its totient is φ = 16289280.

The previous prime is 61087199. The next prime is 61087237. The reversal of 61087200 is 278016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10327 + ... + 15126.

It is an arithmetic number, because the mean of its divisors is an integer number (2761759).

Almost surely, 2^61087200 is an apocalyptic number.

61087200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61087200 is an abundant number, since it is smaller than the sum of its proper divisors (137759448).

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

61087200 is a wasteful number, since it uses less digits than its factorization.

61087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25476 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 61087200 is about 7815.8300902719. The cubic root of 61087200 is about 393.8372041674.

The spelling of 61087200 in words is "sixty-one million, eighty-seven thousand, two hundred".