64633760 has 96 divisors (see below), whose sum is σ = 160538112. Its totient is φ = 24560640.

The previous prime is 64633747. The next prime is 64633769. The reversal of 64633760 is 6733646.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64633760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64633769) 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, 411602 + ... + 411758.

It is an arithmetic number, because the mean of its divisors is an integer number (1672272).

Almost surely, 2^64633760 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 64633760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80269056).

64633760 is an abundant number, since it is smaller than the sum of its proper divisors (95904352).

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

64633760 is a wasteful number, since it uses less digits than its factorization.

64633760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 64633760 is about 8039.5124230267. The cubic root of 64633760 is about 401.3159989521.

The spelling of 64633760 in words is "sixty-four million, six hundred thirty-three thousand, seven hundred sixty".