61626864 has 120 divisors (see below), whose sum is σ = 176452992. Its totient is φ = 18520320.

The previous prime is 61626839. The next prime is 61626931. The reversal of 61626864 is 46862616.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575899 + ... + 576005.

Almost surely, 2^61626864 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 61626864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88226496).

61626864 is an abundant number, since it is smaller than the sum of its proper divisors (114826128).

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

61626864 is a wasteful number, since it uses less digits than its factorization.

61626864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

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

The square root of 61626864 is about 7850.2779568624. The cubic root of 61626864 is about 394.9935671654.

The spelling of 61626864 in words is "sixty-one million, six hundred twenty-six thousand, eight hundred sixty-four".