68000400 has 180 divisors, whose sum is σ = 254307508. Its totient is φ = 16727040.

The previous prime is 68000381. The next prime is 68000417. The reversal of 68000400 is 400086.

It can be written as a sum of positive squares in 6 ways, for example, as 36864 + 67963536 = 192^2 + 8244^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46074 + ... + 47526.

Almost surely, 2^68000400 is an apocalyptic number.

68000400 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 68000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153754).

68000400 is an abundant number, since it is smaller than the sum of its proper divisors (186307108).

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

68000400 is a wasteful number, since it uses less digits than its factorization.

68000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 68000400 is about 8246.2355047622. The cubic root of 68000400 is about 408.1663105147.

Adding to 68000400 its reverse (400086), we get a palindrome (68400486).

The spelling of 68000400 in words is "sixty-eight million, four hundred", and thus it is an aban number.