40089600 has 288 divisors, whose sum is σ = 152334000. Its totient is φ = 10321920.

The previous prime is 40089589. The next prime is 40089607. The reversal of 40089600 is 698004.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40089607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382386 + ... + 1382414.

Almost surely, 2^40089600 is an apocalyptic number.

40089600 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 40089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167000).

40089600 is an abundant number, since it is smaller than the sum of its proper divisors (112244400).

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

40089600 is a wasteful number, since it uses less digits than its factorization.

40089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 39 counting only the distinct ones).

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

The square root of 40089600 is about 6331.6348599710. The cubic root of 40089600 is about 342.2503553142.

It can be divided in two parts, 400 and 89600, that added together give a square (90000 = 300²).

The spelling of 40089600 in words is "forty million, eighty-nine thousand, six hundred".