61232688 has 240 divisors, whose sum is σ = 204272640. Its totient is φ = 16934400.

The previous prime is 61232653. The next prime is 61232701. The reversal of 61232688 is 88623216.

61232688 is a `hidden beast` number, since 612 + 32 + 6 + 8 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1423995 + ... + 1424037.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^61232688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61232688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

61232688 is an abundant number, since it is smaller than the sum of its proper divisors (143039952).

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

61232688 is a wasteful number, since it uses less digits than its factorization.

61232688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61232688 is about 7825.1318199759. The cubic root of 61232688 is about 394.1496163637.

The spelling of 61232688 in words is "sixty-one million, two hundred thirty-two thousand, six hundred eighty-eight".