66677562 has 48 divisors (see below), whose sum is σ = 169146432. Its totient is φ = 18584640.

The previous prime is 66677561. The next prime is 66677579. The reversal of 66677562 is 26577666.

Its product of digits (635040) is a multiple of the sum of its prime divisors (12960).

It is not an unprimeable number, because it can be changed into a prime (66677561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (3523884).

Almost surely, 2^66677562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66677562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84573216).

66677562 is an abundant number, since it is smaller than the sum of its proper divisors (102468870).

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

66677562 is a wasteful number, since it uses less digits than its factorization.

66677562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12960 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 66677562 is about 8165.6329822005. The cubic root of 66677562 is about 405.5022210410.

The spelling of 66677562 in words is "sixty-six million, six hundred seventy-seven thousand, five hundred sixty-two".