64495872 has 288 divisors, whose sum is σ = 230236160. Its totient is φ = 17418240.

The previous prime is 64495843. The next prime is 64495877. The reversal of 64495872 is 27859446.

It is a happy number.

64495872 is a `hidden beast` number, since 64 + 4 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (64495877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499883 + ... + 1499925.

Almost surely, 2^64495872 is an apocalyptic number.

64495872 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64495872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115118080).

64495872 is an abundant number, since it is smaller than the sum of its proper divisors (165740288).

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

64495872 is a wasteful number, since it uses less digits than its factorization.

64495872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 64495872 is about 8030.9321999379. The cubic root of 64495872 is about 401.0304100254.

It can be divided in two parts, 6449 and 5872, that added together give a palindrome (12321).

The spelling of 64495872 in words is "sixty-four million, four hundred ninety-five thousand, eight hundred seventy-two".