61086000 has 80 divisors (see below), whose sum is σ = 196960608. Its totient is φ = 16288000.

The previous prime is 61085989. The next prime is 61086037. The reversal of 61086000 is 68016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910 + ... + 11090.

Almost surely, 2^61086000 is an apocalyptic number.

61086000 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 61086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98480304).

61086000 is an abundant number, since it is smaller than the sum of its proper divisors (135874608).

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

61086000 is a wasteful number, since it uses less digits than its factorization.

61086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61086000 is about 7815.7533226171. The cubic root of 61086000 is about 393.8346252979.

The spelling of 61086000 in words is "sixty-one million, eighty-six thousand".