40987920 has 80 divisors (see below), whose sum is σ = 129009600. Its totient is φ = 10762752.

The previous prime is 40987907. The next prime is 40987931. The reversal of 40987920 is 2978904.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 17354.

It is an arithmetic number, because the mean of its divisors is an integer number (1612620).

Almost surely, 2^40987920 is an apocalyptic number.

40987920 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 40987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504800).

40987920 is an abundant number, since it is smaller than the sum of its proper divisors (88021680).

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

40987920 is a wasteful number, since it uses less digits than its factorization.

40987920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 40987920 is about 6402.1808784195. The cubic root of 40987920 is about 344.7878552937.

The spelling of 40987920 in words is "forty million, nine hundred eighty-seven thousand, nine hundred twenty".