66225360 has 40 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 17660032.

The previous prime is 66225359. The next prime is 66225361. The reversal of 66225360 is 6352266.

It is an interprime number because it is at equal distance from previous prime (66225359) and next prime (66225361).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66225361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137730 + ... + 138209.

It is an arithmetic number, because the mean of its divisors is an integer number (5132484).

Almost surely, 2^66225360 is an apocalyptic number.

66225360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66225360 is an abundant number, since it is smaller than the sum of its proper divisors (139074000).

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

66225360 is a wasteful number, since it uses less digits than its factorization.

66225360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275955 (or 275949 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66225360 is about 8137.8965341174. The cubic root of 66225360 is about 404.5834461189.

The spelling of 66225360 in words is "sixty-six million, two hundred twenty-five thousand, three hundred sixty".