66908400 has 120 divisors (see below), whose sum is σ = 230870640. Its totient is φ = 16465920.

The previous prime is 66908363. The next prime is 66908407. The reversal of 66908400 is 480966.

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66908407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13456 + ... + 17744.

It is an arithmetic number, because the mean of its divisors is an integer number (1923922).

Almost surely, 2^66908400 is an apocalyptic number.

66908400 is a gapful number since it is divisible by the number (60) 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 66908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115435320).

66908400 is an abundant number, since it is smaller than the sum of its proper divisors (163962240).

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

66908400 is a wasteful number, since it uses less digits than its factorization.

66908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 66908400 is about 8179.7554975684. The cubic root of 66908400 is about 405.9696321936.

The spelling of 66908400 in words is "sixty-six million, nine hundred eight thousand, four hundred".