61265688 has 144 divisors (see below), whose sum is σ = 181289640. Its totient is φ = 17233920.

The previous prime is 61265657. The next prime is 61265693. The reversal of 61265688 is 88656216.

It is a super-2 number, since 2×61265688² = 7506969052226688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 839220 + ... + 839292.

Almost surely, 2^61265688 is an apocalyptic number.

61265688 is a gapful number since it is divisible by the number (68) 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 61265688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90644820).

61265688 is an abundant number, since it is smaller than the sum of its proper divisors (120023952).

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

61265688 is a wasteful number, since it uses less digits than its factorization.

61265688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 61265688 is about 7827.2401266347. The cubic root of 61265688 is about 394.2204097143.

The spelling of 61265688 in words is "sixty-one million, two hundred sixty-five thousand, six hundred eighty-eight".