40006920 has 64 divisors (see below), whose sum is σ = 121691520. Its totient is φ = 10520064.

The previous prime is 40006919. The next prime is 40006931. The reversal of 40006920 is 2960004.

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, 6477 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (1901430).

Almost surely, 2^40006920 is an apocalyptic number.

40006920 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 40006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60845760).

40006920 is an abundant number, since it is smaller than the sum of its proper divisors (81684600).

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

40006920 is a wasteful number, since it uses less digits than its factorization.

40006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40006920 is about 6325.1023707131. The cubic root of 40006920 is about 342.0149099207.

Adding to 40006920 its reverse (2960004), we get a palindrome (42966924).

The spelling of 40006920 in words is "forty million, six thousand, nine hundred twenty".