64580040 has 192 divisors, whose sum is σ = 245232000. Its totient is φ = 14732928.

The previous prime is 64580039. The next prime is 64580053. The reversal of 64580040 is 4008546.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 64579986 and 64580013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123219 + ... + 123741.

It is an arithmetic number, because the mean of its divisors is an integer number (1277250).

Almost surely, 2^64580040 is an apocalyptic number.

64580040 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 64580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122616000).

64580040 is an abundant number, since it is smaller than the sum of its proper divisors (180651960).

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

64580040 is a wasteful number, since it uses less digits than its factorization.

64580040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 64580040 is about 8036.1707298937. The cubic root of 64580040 is about 401.2047842606.

Adding to 64580040 its reverse (4008546), we get a palindrome (68588586).

The spelling of 64580040 in words is "sixty-four million, five hundred eighty thousand, forty".