61520688 has 80 divisors (see below), whose sum is σ = 186996960. Its totient is φ = 19298304.

The previous prime is 61520663. The next prime is 61520707. The reversal of 61520688 is 88602516.

It is a happy number.

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

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, 3156 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (2337462).

Almost surely, 2^61520688 is an apocalyptic number.

61520688 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 61520688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93498480).

61520688 is an abundant number, since it is smaller than the sum of its proper divisors (125476272).

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

61520688 is a wasteful number, since it uses less digits than its factorization.

61520688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61520688 is about 7843.5124784754. The cubic root of 61520688 is about 394.7665939344.

The spelling of 61520688 in words is "sixty-one million, five hundred twenty thousand, six hundred eighty-eight".