68682600 has 384 divisors, whose sum is σ = 285696000. Its totient is φ = 14826240.

The previous prime is 68682569. The next prime is 68682617. The reversal of 68682600 is 628686.

68682600 = 51³ + 52³ + ... + 129³.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 869361 + ... + 869439.

It is an arithmetic number, because the mean of its divisors is an integer number (744000).

Almost surely, 2^68682600 is an apocalyptic number.

68682600 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 68682600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

68682600 is an abundant number, since it is smaller than the sum of its proper divisors (217013400).

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

68682600 is a wasteful number, since it uses less digits than its factorization.

68682600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68682600 is about 8287.4966063341. The cubic root of 68682600 is about 409.5267193987.

The spelling of 68682600 in words is "sixty-eight million, six hundred eighty-two thousand, six hundred".