66498624 has 112 divisors (see below), whose sum is σ = 202387200. Its totient is φ = 21385728.

The previous prime is 66498617. The next prime is 66498629. The reversal of 66498624 is 42689466.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66498624.

It is not an unprimeable number, because it can be changed into a prime (66498629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49449 + ... + 50775.

Almost surely, 2^66498624 is an apocalyptic number.

66498624 is a gapful number since it is divisible by the number (64) 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 66498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101193600).

66498624 is an abundant number, since it is smaller than the sum of its proper divisors (135888576).

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

66498624 is a wasteful number, since it uses less digits than its factorization.

66498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1361 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66498624 is about 8154.6688467405. The cubic root of 66498624 is about 405.1391565704.

The spelling of 66498624 in words is "sixty-six million, four hundred ninety-eight thousand, six hundred twenty-four".