66788496 has 160 divisors (see below), whose sum is σ = 206336000. Its totient is φ = 20621952.

The previous prime is 66788489. The next prime is 66788497. The reversal of 66788496 is 69488766.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66788497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648381 + ... + 648483.

It is an arithmetic number, because the mean of its divisors is an integer number (1289600).

Almost surely, 2^66788496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66788496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103168000).

66788496 is an abundant number, since it is smaller than the sum of its proper divisors (139547504).

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

66788496 is a wasteful number, since it uses less digits than its factorization.

66788496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66788496 is about 8172.4228965467. The cubic root of 66788496 is about 405.7269796049.

The spelling of 66788496 in words is "sixty-six million, seven hundred eighty-eight thousand, four hundred ninety-six".