68930400 has 288 divisors, whose sum is σ = 280482048. Its totient is φ = 14284800.

The previous prime is 68930387. The next prime is 68930413. The reversal of 68930400 is 403986.

It is an interprime number because it is at equal distance from previous prime (68930387) and next prime (68930413).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184614 + ... + 184986.

It is an arithmetic number, because the mean of its divisors is an integer number (973896).

Almost surely, 2^68930400 is an apocalyptic number.

68930400 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 68930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241024).

68930400 is an abundant number, since it is smaller than the sum of its proper divisors (211551648).

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

68930400 is a wasteful number, since it uses less digits than its factorization.

68930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 68930400 is about 8302.4333782332. The cubic root of 68930400 is about 410.0186388512.

It can be divided in two parts, 6 and 8930400, that multiplied together give a square (53582400 = 7320²).

The spelling of 68930400 in words is "sixty-eight million, nine hundred thirty thousand, four hundred".