64876000 has 144 divisors (see below), whose sum is σ = 185985072. Its totient is φ = 22176000.

The previous prime is 64875997. The next prime is 64876003. The reversal of 64876000 is 67846.

It is an interprime number because it is at equal distance from previous prime (64875997) and next prime (64876003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64876003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195835 + ... + 196165.

It is an arithmetic number, because the mean of its divisors is an integer number (1291563).

Almost surely, 2^64876000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92992536).

64876000 is an abundant number, since it is smaller than the sum of its proper divisors (121109072).

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

64876000 is a wasteful number, since it uses less digits than its factorization.

64876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 64876000 is about 8054.5639236398. The cubic root of 64876000 is about 401.8167361820.

The spelling of 64876000 in words is "sixty-four million, eight hundred seventy-six thousand".