61686360 has 160 divisors (see below), whose sum is σ = 210830400. Its totient is φ = 16174080.

The previous prime is 61686341. The next prime is 61686403. The reversal of 61686360 is 6368616.

61686360 is a `hidden beast` number, since 6 + 16 + 8 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255840 + ... + 256080.

It is an arithmetic number, because the mean of its divisors is an integer number (1317690).

Almost surely, 2^61686360 is an apocalyptic number.

61686360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61686360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105415200).

61686360 is an abundant number, since it is smaller than the sum of its proper divisors (149144040).

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

61686360 is a wasteful number, since it uses less digits than its factorization.

61686360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61686360 is about 7854.0664626676. The cubic root of 61686360 is about 395.1206382572.

It can be divided in two parts, 6 and 1686360, that added together give a triangular number (1686366 = T₁₈₃₆).

The spelling of 61686360 in words is "sixty-one million, six hundred eighty-six thousand, three hundred sixty".