66992400 has 120 divisors (see below), whose sum is σ = 238481760. Its totient is φ = 17861760.

The previous prime is 66992383. The next prime is 66992441. The reversal of 66992400 is 429966.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7699 + ... + 13901.

It is an arithmetic number, because the mean of its divisors is an integer number (1987348).

Almost surely, 2^66992400 is an apocalyptic number.

66992400 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 66992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119240880).

66992400 is an abundant number, since it is smaller than the sum of its proper divisors (171489360).

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

66992400 is a wasteful number, since it uses less digits than its factorization.

66992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 66992400 is about 8184.8885148180. Note that the first 3 decimals coincide. The cubic root of 66992400 is about 406.1394523666.

The spelling of 66992400 in words is "sixty-six million, nine hundred ninety-two thousand, four hundred".