66126360 has 64 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 17490816.

The previous prime is 66126341. The next prime is 66126371. The reversal of 66126360 is 6362166.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13071 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^66126360 is an apocalyptic number.

66126360 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 66126360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

66126360 is an abundant number, since it is smaller than the sum of its proper divisors (133860840).

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

66126360 is a wasteful number, since it uses less digits than its factorization.

66126360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 66126360 is about 8131.8116062781. The cubic root of 66126360 is about 404.3817422374.

The spelling of 66126360 in words is "sixty-six million, one hundred twenty-six thousand, three hundred sixty".