40687200 has 108 divisors (see below), whose sum is σ = 143498628. Its totient is φ = 10848000.

The previous prime is 40687187. The next prime is 40687201. The reversal of 40687200 is 278604.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40687201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4375 + ... + 10025.

It is an arithmetic number, because the mean of its divisors is an integer number (1328691).

Almost surely, 2^40687200 is an apocalyptic number.

40687200 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 40687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71749314).

40687200 is an abundant number, since it is smaller than the sum of its proper divisors (102811428).

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

40687200 is a wasteful number, since it uses less digits than its factorization.

40687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40687200 is about 6378.6518951891. The cubic root of 40687200 is about 343.9425719890.

The spelling of 40687200 in words is "forty million, six hundred eighty-seven thousand, two hundred".