66915360 has 144 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 17256960.

The previous prime is 66915313. The next prime is 66915361. The reversal of 66915360 is 6351966.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (66915361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43891 + ... + 45389.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^66915360 is an apocalyptic number.

66915360 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 66915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

66915360 is an abundant number, since it is smaller than the sum of its proper divisors (168956640).

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

66915360 is a wasteful number, since it uses less digits than its factorization.

66915360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 66915360 is about 8180.1809270945. The cubic root of 66915360 is about 405.9837084066.

The spelling of 66915360 in words is "sixty-six million, nine hundred fifteen thousand, three hundred sixty".