68382900 has 288 divisors, whose sum is σ = 244428800. Its totient is φ = 16329600.

The previous prime is 68382889. The next prime is 68382911. The reversal of 68382900 is 928386.

It is an interprime number because it is at equal distance from previous prime (68382889) and next prime (68382911).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1590279 + ... + 1590321.

Almost surely, 2^68382900 is an apocalyptic number.

68382900 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 68382900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122214400).

68382900 is an abundant number, since it is smaller than the sum of its proper divisors (176045900).

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

68382900 is a wasteful number, since it uses less digits than its factorization.

68382900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 68382900 is about 8269.3953829769. The cubic root of 68382900 is about 408.9301873697.

The spelling of 68382900 in words is "sixty-eight million, three hundred eighty-two thousand, nine hundred".