64616040 has 96 divisors (see below), whose sum is σ = 211161600. Its totient is φ = 17136000.

The previous prime is 64616029. The next prime is 64616087. The reversal of 64616040 is 4061646.

64616040 is a `hidden beast` number, since 6 + 4 + 616 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64615995 and 64616013.

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, 85665 + ... + 86415.

It is an arithmetic number, because the mean of its divisors is an integer number (2199600).

Almost surely, 2^64616040 is an apocalyptic number.

64616040 is a gapful number since it is divisible by the number (60) 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 64616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105580800).

64616040 is an abundant number, since it is smaller than the sum of its proper divisors (146545560).

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

64616040 is a wasteful number, since it uses less digits than its factorization.

64616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64616040 is about 8038.4102905985. The cubic root of 64616040 is about 401.2793206512.

Adding to 64616040 its reverse (4061646), we get a palindrome (68677686).

The spelling of 64616040 in words is "sixty-four million, six hundred sixteen thousand, forty".