68864400 has 360 divisors, whose sum is σ = 273446784. Its totient is φ = 15897600.

The previous prime is 68864381. The next prime is 68864413. The reversal of 68864400 is 446886.

68864400 is a `hidden beast` number, since 6 + 8 + 8 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1465177 + ... + 1465223.

Almost surely, 2^68864400 is an apocalyptic number.

68864400 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 68864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723392).

68864400 is an abundant number, since it is smaller than the sum of its proper divisors (204582384).

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

68864400 is a wasteful number, since it uses less digits than its factorization.

68864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68864400 is about 8298.4576880285. The cubic root of 68864400 is about 409.8877344816.

It can be divided in two parts, 68 and 864400, that added together give a palindrome (864468).

The spelling of 68864400 in words is "sixty-eight million, eight hundred sixty-four thousand, four hundred".