66952800 has 216 divisors, whose sum is σ = 250437096. Its totient is φ = 16773120.

The previous prime is 66952771. The next prime is 66952813. The reversal of 66952800 is 825966.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122127 + ... + 122673.

It is an arithmetic number, because the mean of its divisors is an integer number (1159431).

Almost surely, 2^66952800 is an apocalyptic number.

66952800 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 66952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125218548).

66952800 is an abundant number, since it is smaller than the sum of its proper divisors (183484296).

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

66952800 is a wasteful number, since it uses less digits than its factorization.

66952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

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

The square root of 66952800 is about 8182.4690650194. The cubic root of 66952800 is about 406.0594119822.

The spelling of 66952800 in words is "sixty-six million, nine hundred fifty-two thousand, eight hundred".