61085200 has 60 divisors (see below), whose sum is σ = 160110288. Its totient is φ = 22211200.

The previous prime is 61085191. The next prime is 61085231. The reversal of 61085200 is 258016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2542 + ... + 11341.

Almost surely, 2^61085200 is an apocalyptic number.

It is an amenable number.

61085200 is an abundant number, since it is smaller than the sum of its proper divisors (99025088).

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

61085200 is a wasteful number, since it uses less digits than its factorization.

61085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 61085200 is about 7815.7021437616. The cubic root of 61085200 is about 393.8329060329.

The spelling of 61085200 in words is "sixty-one million, eighty-five thousand, two hundred".