66653328 has 120 divisors (see below), whose sum is σ = 212209632. Its totient is φ = 17912832.

The previous prime is 66653299. The next prime is 66653341. The reversal of 66653328 is 82335666.

It is a happy number.

It is a super-2 number, since 2×66653328² = 8885332266951168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39151 + ... + 40817.

Almost surely, 2^66653328 is an apocalyptic number.

66653328 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 66653328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106104816).

66653328 is an abundant number, since it is smaller than the sum of its proper divisors (145556304).

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

66653328 is a wasteful number, since it uses less digits than its factorization.

66653328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1696 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 66653328 is about 8164.1489452361. The cubic root of 66653328 is about 405.4530884128.

The spelling of 66653328 in words is "sixty-six million, six hundred fifty-three thousand, three hundred twenty-eight".