68966100 has 288 divisors, whose sum is σ = 262483200. Its totient is φ = 15206400.

The previous prime is 68966099. The next prime is 68966123. The reversal of 68966100 is 166986.

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 95 ways as a sum of consecutive naturals, for example, 774856 + ... + 774944.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^68966100 is an apocalyptic number.

68966100 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 68966100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

68966100 is an abundant number, since it is smaller than the sum of its proper divisors (193517100).

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

68966100 is a wasteful number, since it uses less digits than its factorization.

68966100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68966100 is about 8304.5830720151. The cubic root of 68966100 is about 410.0894113944.

It can be divided in two parts, 6896 and 6100, that added together give a square (12996 = 114²).

The spelling of 68966100 in words is "sixty-eight million, nine hundred sixty-six thousand, one hundred".