40690800 has 180 divisors, whose sum is σ = 143919360. Its totient is φ = 10644480.

The previous prime is 40690777. The next prime is 40690807. The reversal of 40690800 is 809604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40690807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320337 + ... + 320463.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 2^40690800 is an apocalyptic number.

40690800 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 40690800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71959680).

40690800 is an abundant number, since it is smaller than the sum of its proper divisors (103228560).

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

40690800 is a wasteful number, since it uses less digits than its factorization.

40690800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40690800 is about 6378.9340802363. The cubic root of 40690800 is about 343.9527156930.

The spelling of 40690800 in words is "forty million, six hundred ninety thousand, eight hundred".