66915468 has 72 divisors (see below), whose sum is σ = 182564928. Its totient is φ = 20587008.

The previous prime is 66915463. The next prime is 66915469. The reversal of 66915468 is 86451966.

It is not an unprimeable number, because it can be changed into a prime (66915461) 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, 31405 + ... + 33467.

It is an arithmetic number, because the mean of its divisors is an integer number (2535624).

Almost surely, 2^66915468 is an apocalyptic number.

66915468 is a gapful number since it is divisible by the number (68) 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 66915468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91282464).

66915468 is an abundant number, since it is smaller than the sum of its proper divisors (115649460).

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

66915468 is a wasteful number, since it uses less digits than its factorization.

66915468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2138 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 66915468 is about 8180.1875284128. The cubic root of 66915468 is about 405.9839268229.

The spelling of 66915468 in words is "sixty-six million, nine hundred fifteen thousand, four hundred sixty-eight".