66940800 has 192 divisors, whose sum is σ = 232723200. Its totient is φ = 16865280.

The previous prime is 66940799. The next prime is 66940813. The reversal of 66940800 is 804966.

66940800 = T₂₆₄₅ + T₂₆₄₆ + ... + T₂₆₆₃.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 182217 + ... + 182583.

It is an arithmetic number, because the mean of its divisors is an integer number (1212100).

Almost surely, 2^66940800 is an apocalyptic number.

66940800 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 66940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116361600).

66940800 is an abundant number, since it is smaller than the sum of its proper divisors (165782400).

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

66940800 is a wasteful number, since it uses less digits than its factorization.

66940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

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

The square root of 66940800 is about 8181.7357571606. The cubic root of 66940800 is about 406.0351510896.

The spelling of 66940800 in words is "sixty-six million, nine hundred forty thousand, eight hundred".