64415040 has 112 divisors (see below), whose sum is σ = 216603072. Its totient is φ = 16162816.

The previous prime is 64415027. The next prime is 64415063. The reversal of 64415040 is 4051446.

64415040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64415040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14347 + ... + 18293.

It is an arithmetic number, because the mean of its divisors is an integer number (1933956).

Almost surely, 2^64415040 is an apocalyptic number.

64415040 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 64415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108301536).

64415040 is an abundant number, since it is smaller than the sum of its proper divisors (152188032).

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

64415040 is a wasteful number, since it uses less digits than its factorization.

64415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 64415040 is about 8025.8980805889. The cubic root of 64415040 is about 400.8628042506.

Adding to 64415040 its reverse (4051446), we get a palindrome (68466486).

The spelling of 64415040 in words is "sixty-four million, four hundred fifteen thousand, forty".