40686800 has 120 divisors (see below), whose sum is σ = 121962432. Its totient is φ = 12672000.

The previous prime is 40686773. The next prime is 40686823. The reversal of 40686800 is 868604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30140 + ... + 31460.

Almost surely, 2^40686800 is an apocalyptic number.

40686800 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 40686800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60981216).

40686800 is an abundant number, since it is smaller than the sum of its proper divisors (81275632).

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

40686800 is a wasteful number, since it uses less digits than its factorization.

40686800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 40686800 is about 6378.6205405244. The cubic root of 40686800 is about 343.9414448739.

The spelling of 40686800 in words is "forty million, six hundred eighty-six thousand, eight hundred".