400068 has 18 divisors (see below), whose sum is σ = 1011374. Its totient is φ = 133344.

The previous prime is 400067. The next prime is 400069. The reversal of 400068 is 860004.

It is an interprime number because it is at equal distance from previous prime (400067) and next prime (400069).

It can be written as a sum of positive squares in only one way, i.e., 213444 + 186624 = 462^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a self number, because there is not a number n which added to its sum of digits gives 400068.

It is not an unprimeable number, because it can be changed into a prime (400067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5521 + ... + 5592.

2⁴⁰⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

400068 is an abundant number, since it is smaller than the sum of its proper divisors (611306).

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

400068 is a wasteful number, since it uses less digits than its factorization.

400068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11118 counting only the distinct ones).

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

The square root of 400068 is about 632.5092884693. The cubic root of 400068 is about 73.6848049719.

The spelling of 400068 in words is "four hundred thousand, sixty-eight".