66958100 has 72 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 23497600.

The previous prime is 66958091. The next prime is 66958141. The reversal of 66958100 is 185966.

It is a super-2 number, since 2×66958100² = 8966774311220000, which contains 22 as substring.

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, 30851 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (2278500).

Almost surely, 2^66958100 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 66958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

66958100 is an abundant number, since it is smaller than the sum of its proper divisors (97093900).

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

66958100 is a wasteful number, since it uses less digits than its factorization.

66958100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 66958100 is about 8182.7929217352. The cubic root of 66958100 is about 406.0701262869.

The spelling of 66958100 in words is "sixty-six million, nine hundred fifty-eight thousand, one hundred".