64947800 has 48 divisors (see below), whose sum is σ = 152252160. Its totient is φ = 25764480.

The previous prime is 64947797. The next prime is 64947847. The reversal of 64947800 is 874946.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24122 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (3171920).

Almost surely, 2^64947800 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 64947800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76126080).

64947800 is an abundant number, since it is smaller than the sum of its proper divisors (87304360).

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

64947800 is a wasteful number, since it uses less digits than its factorization.

64947800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 64947800 is about 8059.0197915131. The cubic root of 64947800 is about 401.9649152982.

The spelling of 64947800 in words is "sixty-four million, nine hundred forty-seven thousand, eight hundred".