61806628 has 48 divisors (see below), whose sum is σ = 124467840. Its totient is φ = 26601984.

The previous prime is 61806623. The next prime is 61806643. The reversal of 61806628 is 82660816.

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 not an unprimeable number, because it can be changed into a prime (61806623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122625 + ... + 123127.

It is an arithmetic number, because the mean of its divisors is an integer number (2593080).

Almost surely, 2^61806628 is an apocalyptic number.

61806628 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

61806628 is an abundant number, since it is smaller than the sum of its proper divisors (62661212).

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

61806628 is a wasteful number, since it uses less digits than its factorization.

61806628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

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

The square root of 61806628 is about 7861.7191504149. The cubic root of 61806628 is about 395.3772564103.

The spelling of 61806628 in words is "sixty-one million, eight hundred six thousand, six hundred twenty-eight".