64545600 has 336 divisors, whose sum is σ = 258519168. Its totient is φ = 13762560.

The previous prime is 64545599. The next prime is 64545601. The reversal of 64545600 is 654546.

It is an interprime number because it is at equal distance from previous prime (64545599) and next prime (64545601).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×64545600² = 8332268958720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64545601) 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, 571144 + ... + 571256.

Almost surely, 2^64545600 is an apocalyptic number.

64545600 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 64545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129259584).

64545600 is an abundant number, since it is smaller than the sum of its proper divisors (193973568).

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

64545600 is a wasteful number, since it uses less digits than its factorization.

64545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 64545600 is about 8034.0276325141. The cubic root of 64545600 is about 401.1334518503.

The spelling of 64545600 in words is "sixty-four million, five hundred forty-five thousand, six hundred".