68374400 has 96 divisors (see below), whose sum is σ = 176439600. Its totient is φ = 26132480.

The previous prime is 68374381. The next prime is 68374417. The reversal of 68374400 is 447386.

It is a happy number.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73136 + ... + 74064.

Almost surely, 2^68374400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88219800).

68374400 is an abundant number, since it is smaller than the sum of its proper divisors (108065200).

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

68374400 is a wasteful number, since it uses less digits than its factorization.

68374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 68374400 is about 8268.8814237477. The cubic root of 68374400 is about 408.9132433159.

The spelling of 68374400 in words is "sixty-eight million, three hundred seventy-four thousand, four hundred".