64876500 has 144 divisors (see below), whose sum is σ = 220605840. Its totient is φ = 15955200.

The previous prime is 64876457. The next prime is 64876501. The reversal of 64876500 is 567846.

64876500 = T₄₂₄ + T₄₂₅ + ... + T₇₇₄.

It is a happy number.

64876500 is a `hidden beast` number, since 648 + 7 + 6 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 53056656 + 11819844 = 7284^2 + 3438^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64876501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57946 + ... + 59054.

It is an arithmetic number, because the mean of its divisors is an integer number (1531985).

Almost surely, 2^64876500 is an apocalyptic number.

64876500 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 64876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110302920).

64876500 is an abundant number, since it is smaller than the sum of its proper divisors (155729340).

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

64876500 is a wasteful number, since it uses less digits than its factorization.

64876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 64876500 is about 8054.5949618836. The cubic root of 64876500 is about 401.8177684480.

The spelling of 64876500 in words is "sixty-four million, eight hundred seventy-six thousand, five hundred".