66900852 has 72 divisors (see below), whose sum is σ = 176164352. Its totient is φ = 21384000.

The previous prime is 66900833. The next prime is 66900853. The reversal of 66900852 is 25800966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66900853) 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, 168318 + ... + 168714.

Almost surely, 2^66900852 is an apocalyptic number.

66900852 is a gapful number since it is divisible by the number (62) 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 66900852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88082176).

66900852 is an abundant number, since it is smaller than the sum of its proper divisors (109263500).

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

66900852 is a wasteful number, since it uses less digits than its factorization.

66900852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 66900852 is about 8179.2941015714. The cubic root of 66900852 is about 405.9543656799.

The spelling of 66900852 in words is "sixty-six million, nine hundred thousand, eight hundred fifty-two".