66228480 has 108 divisors (see below), whose sum is σ = 229183500. Its totient is φ = 17657856.

The previous prime is 66228479. The next prime is 66228527. The reversal of 66228480 is 8482266.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 56791296 = 3072^2 + 7536^2 .

It is a super-2 number, since 2×66228480² = 8772423126220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8646 + ... + 14394.

Almost surely, 2^66228480 is an apocalyptic number.

66228480 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 66228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114591750).

66228480 is an abundant number, since it is smaller than the sum of its proper divisors (162955020).

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

66228480 is a wasteful number, since it uses less digits than its factorization.

66228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66228480 is about 8138.0882275876. The cubic root of 66228480 is about 404.5897995789.

The spelling of 66228480 in words is "sixty-six million, two hundred twenty-eight thousand, four hundred eighty".