68832300 has 54 divisors (see below), whose sum is σ = 199571428. Its totient is φ = 18316960.

The previous prime is 68832289. The next prime is 68832311. The reversal of 68832300 is 323886.

It is an interprime number because it is at equal distance from previous prime (68832289) and next prime (68832311).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143461 + ... + 143939.

Almost surely, 2^68832300 is an apocalyptic number.

68832300 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 68832300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99785714).

68832300 is an abundant number, since it is smaller than the sum of its proper divisors (130739128).

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

68832300 is a wasteful number, since it uses less digits than its factorization.

68832300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68832300 is about 8296.5233682549. The cubic root of 68832300 is about 409.8240371228.

Multiplying 68832300 by its product of nonzero digits (6912), we get a square (475768857600 = 689760²).

The spelling of 68832300 in words is "sixty-eight million, eight hundred thirty-two thousand, three hundred".