66938000 has 40 divisors (see below), whose sum is σ = 161860920. Its totient is φ = 26774400.

The previous prime is 66937999. The next prime is 66938009. The reversal of 66938000 is 83966.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5973136 + 60964864 = 2444^2 + 7808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66938009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14735 + ... + 18734.

It is an arithmetic number, because the mean of its divisors is an integer number (4046523).

Almost surely, 2^66938000 is an apocalyptic number.

It is an amenable number.

66938000 is an abundant number, since it is smaller than the sum of its proper divisors (94922920).

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

66938000 is a wasteful number, since it uses less digits than its factorization.

66938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33492 (or 33476 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 66938000 is about 8181.5646425363. The cubic root of 66938000 is about 406.0294897974.

The spelling of 66938000 in words is "sixty-six million, nine hundred thirty-eight thousand".