61628664 has 32 divisors (see below), whose sum is σ = 154339920. Its totient is φ = 20507136.

The previous prime is 61628663. The next prime is 61628681. The reversal of 61628664 is 46682616.

61628664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61628663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14352 + ... + 18144.

Almost surely, 2^61628664 is an apocalyptic number.

It is an amenable number.

61628664 is an abundant number, since it is smaller than the sum of its proper divisors (92711256).

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

61628664 is a wasteful number, since it uses less digits than its factorization.

61628664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4475 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 61628664 is about 7850.3926016474. The cubic root of 61628664 is about 394.9974127908.

The spelling of 61628664 in words is "sixty-one million, six hundred twenty-eight thousand, six hundred sixty-four".