66936100 has 72 divisors (see below), whose sum is σ = 181113408. Its totient is φ = 20860800.

The previous prime is 66936091. The next prime is 66936101. The reversal of 66936100 is 163966.

It is not an unprimeable number, because it can be changed into a prime (66936101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354 + ... + 12046.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464).

Almost surely, 2^66936100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66936100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90556704).

66936100 is an abundant number, since it is smaller than the sum of its proper divisors (114177308).

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

66936100 is a wasteful number, since it uses less digits than its factorization.

66936100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 66936100 is about 8181.4485270030. The cubic root of 66936100 is about 406.0256481164.

The spelling of 66936100 in words is "sixty-six million, nine hundred thirty-six thousand, one hundred".