66830400 has 672 divisors, whose sum is σ = 317479680. Its totient is φ = 13271040.

The previous prime is 66830377. The next prime is 66830431. The reversal of 66830400 is 403866.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931192 + ... + 3931208.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 2^66830400 is an apocalyptic number.

66830400 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 66830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

66830400 is an abundant number, since it is smaller than the sum of its proper divisors (250649280).

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

66830400 is a wasteful number, since it uses less digits than its factorization.

66830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66830400 is about 8174.9862385205. The cubic root of 66830400 is about 405.8118147184.

The spelling of 66830400 in words is "sixty-six million, eight hundred thirty thousand, four hundred".