61628680 has 32 divisors (see below), whose sum is σ = 142415640. Its totient is φ = 23984640.

The previous prime is 61628663. The next prime is 61628681. The reversal of 61628680 is 8682616.

It can be written as a sum of positive squares in 4 ways, for example, as 60559524 + 1069156 = 7782^2 + 1034^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 7 ways as a sum of consecutive naturals, for example, 19341 + ... + 22300.

Almost surely, 2^61628680 is an apocalyptic number.

It is an amenable number.

61628680 is an abundant number, since it is smaller than the sum of its proper divisors (80786960).

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

61628680 is a wasteful number, since it uses less digits than its factorization.

61628680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41689 (or 41685 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 61628680 is about 7850.3936207046. The cubic root of 61628680 is about 394.9974469738.

The spelling of 61628680 in words is "sixty-one million, six hundred twenty-eight thousand, six hundred eighty".