40830920 has 64 divisors (see below), whose sum is σ = 99655920. Its totient is φ = 14966784.

The previous prime is 40830919. The next prime is 40830947. The reversal of 40830920 is 2903804.

40830920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2316484 + 38514436 = 1522^2 + 6206^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 40830920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120992 + ... + 121328.

Almost surely, 2^40830920 is an apocalyptic number.

40830920 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 40830920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827960).

40830920 is an abundant number, since it is smaller than the sum of its proper divisors (58825000).

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

40830920 is a wasteful number, since it uses less digits than its factorization.

40830920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 40830920 is about 6389.9076675645. The cubic root of 40830920 is about 344.3470672434.

The spelling of 40830920 in words is "forty million, eight hundred thirty thousand, nine hundred twenty".