64364300 has 144 divisors (see below), whose sum is σ = 187821312. Its totient is φ = 18489600.

The previous prime is 64364297. The next prime is 64364309. The reversal of 64364300 is 346346.

It is a super-2 number, since 2×64364300² = 8285526228980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 64364300.

It is not an unprimeable number, because it can be changed into a prime (64364309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99779 + ... + 100421.

Almost surely, 2^64364300 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 64364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93910656).

64364300 is an abundant number, since it is smaller than the sum of its proper divisors (123457012).

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

64364300 is a wasteful number, since it uses less digits than its factorization.

64364300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 64364300 is about 8022.7364408910. The cubic root of 64364300 is about 400.7575228256.

It can be divided in two parts, 643 and 64300, that multiplied together give a square (41344900 = 6430²).

The spelling of 64364300 in words is "sixty-four million, three hundred sixty-four thousand, three hundred".