61086800 has 30 divisors (see below), whose sum is σ = 146761998. Its totient is φ = 24434560.

The previous prime is 61086799. The next prime is 61086811. The reversal of 61086800 is 868016.

It can be written as a sum of positive squares in 3 ways, for example, as 13366336 + 47720464 = 3656^2 + 6908^2 .

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, 75959 + ... + 76758.

Almost surely, 2^61086800 is an apocalyptic number.

It is an amenable number.

61086800 is an abundant number, since it is smaller than the sum of its proper divisors (85675198).

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

61086800 is a wasteful number, since it uses less digits than its factorization.

61086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152735 (or 152724 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 61086800 is about 7815.8045011374. The cubic root of 61086800 is about 393.8363445480.

The spelling of 61086800 in words is "sixty-one million, eighty-six thousand, eight hundred".