64632096 has 144 divisors (see below), whose sum is σ = 199783584. Its totient is φ = 19740672.

The previous prime is 64632089. The next prime is 64632101. The reversal of 64632096 is 69023646.

64632096 is a `hidden beast` number, since 646 + 3 + 2 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 64632096.

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, 210375 + ... + 210681.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 2^64632096 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 64632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99891792).

64632096 is an abundant number, since it is smaller than the sum of its proper divisors (135151488).

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

64632096 is a wasteful number, since it uses less digits than its factorization.

64632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 64632096 is about 8039.4089334975. The cubic root of 64632096 is about 401.3125549544.

It can be divided in two parts, 646320 and 96, that added together give a square (646416 = 804²).

The spelling of 64632096 in words is "sixty-four million, six hundred thirty-two thousand, ninety-six".