68958400 has 168 divisors, whose sum is σ = 199558656. Its totient is φ = 22963200.

The previous prime is 68958371. The next prime is 68958401. The reversal of 68958400 is 485986.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68958401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526335 + ... + 526465.

Almost surely, 2^68958400 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 68958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99779328).

68958400 is an abundant number, since it is smaller than the sum of its proper divisors (130600256).

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

68958400 is a wasteful number, since it uses less digits than its factorization.

68958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 68958400 is about 8304.1194596417. The cubic root of 68958400 is about 410.0741487944.

The spelling of 68958400 in words is "sixty-eight million, nine hundred fifty-eight thousand, four hundred".