40868000 has 96 divisors (see below), whose sum is σ = 106496208. Its totient is φ = 15360000.

The previous prime is 40867961. The next prime is 40868029. The reversal of 40868000 is 86804.

It can be written as a sum of positive squares in 8 ways, for example, as 9909904 + 30958096 = 3148^2 + 5564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67700 + ... + 68300.

Almost surely, 2^40868000 is an apocalyptic number.

40868000 is a gapful number since it is divisible by the number (40) 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 40868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53248104).

40868000 is an abundant number, since it is smaller than the sum of its proper divisors (65628208).

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

40868000 is a wasteful number, since it uses less digits than its factorization.

40868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 40868000 is about 6392.8084595114. The cubic root of 40868000 is about 344.4512736149.

The spelling of 40868000 in words is "forty million, eight hundred sixty-eight thousand".