61628688 has 180 divisors, whose sum is σ = 198101904. Its totient is φ = 18532800.

The previous prime is 61628681. The next prime is 61628719. The reversal of 61628688 is 88682616.

61628688 is a `hidden beast` number, since 616 + 28 + 6 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61628681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470383 + ... + 470513.

Almost surely, 2^61628688 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 61628688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99050952).

61628688 is an abundant number, since it is smaller than the sum of its proper divisors (136473216).

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

61628688 is a wasteful number, since it uses less digits than its factorization.

61628688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 61628688 is about 7850.3941302332. The cubic root of 61628688 is about 394.9974640653.

The spelling of 61628688 in words is "sixty-one million, six hundred twenty-eight thousand, six hundred eighty-eight".