68642400 has 144 divisors (see below), whose sum is σ = 229766544. Its totient is φ = 17786880.

The previous prime is 68642381. The next prime is 68642443. The reversal of 68642400 is 424686.

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

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 23 ways as a sum of consecutive naturals, for example, 88414 + ... + 89186.

It is an arithmetic number, because the mean of its divisors is an integer number (1595601).

Almost surely, 2^68642400 is an apocalyptic number.

68642400 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 68642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114883272).

68642400 is an abundant number, since it is smaller than the sum of its proper divisors (161124144).

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

68642400 is a wasteful number, since it uses less digits than its factorization.

68642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 68642400 is about 8285.0709109820. The cubic root of 68642400 is about 409.4468049948.

The spelling of 68642400 in words is "sixty-eight million, six hundred forty-two thousand, four hundred".