40903920 has 160 divisors (see below), whose sum is σ = 145972800. Its totient is φ = 10515456.

The previous prime is 40903897. The next prime is 40903931. The reversal of 40903920 is 2930904.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62314 + ... + 62966.

It is an arithmetic number, because the mean of its divisors is an integer number (912330).

Almost surely, 2^40903920 is an apocalyptic number.

40903920 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 40903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72986400).

40903920 is an abundant number, since it is smaller than the sum of its proper divisors (105068880).

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

40903920 is a wasteful number, since it uses less digits than its factorization.

40903920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 40903920 is about 6395.6172493357. The cubic root of 40903920 is about 344.5521599369.

The spelling of 40903920 in words is "forty million, nine hundred three thousand, nine hundred twenty".