66303360 has 160 divisors (see below), whose sum is σ = 236966400. Its totient is φ = 17667072.

The previous prime is 66303353. The next prime is 66303373. The reversal of 66303360 is 6330366.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×66303360² = 8792271094579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51201 + ... + 52479.

It is an arithmetic number, because the mean of its divisors is an integer number (1481040).

Almost surely, 2^66303360 is an apocalyptic number.

66303360 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 66303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483200).

66303360 is an abundant number, since it is smaller than the sum of its proper divisors (170663040).

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

66303360 is a wasteful number, since it uses less digits than its factorization.

66303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 66303360 is about 8142.6875170302. The cubic root of 66303360 is about 404.7422227943.

The spelling of 66303360 in words is "sixty-six million, three hundred three thousand, three hundred sixty".