64893360 has 240 divisors, whose sum is σ = 244912896. Its totient is φ = 13920768.

The previous prime is 64893343. The next prime is 64893377. The reversal of 64893360 is 6339846.

It is an interprime number because it is at equal distance from previous prime (64893343) and next prime (64893377).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×64893360² = 8422296344179200, which contains 22 as substring.

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, 606427 + ... + 606533.

Almost surely, 2^64893360 is an apocalyptic number.

64893360 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 64893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448).

64893360 is an abundant number, since it is smaller than the sum of its proper divisors (180019536).

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

64893360 is a wasteful number, since it uses less digits than its factorization.

64893360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 64893360 is about 8055.6415014572. The cubic root of 64893360 is about 401.8525733506.

The spelling of 64893360 in words is "sixty-four million, eight hundred ninety-three thousand, three hundred sixty".