40986960 has 160 divisors (see below), whose sum is σ = 150085632. Its totient is φ = 9054720.

The previous prime is 40986923. The next prime is 40986997. The reversal of 40986960 is 6968904.

It is an interprime number because it is at equal distance from previous prime (40986923) and next prime (40986997).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 51687 + ... + 52473.

Almost surely, 2^40986960 is an apocalyptic number.

40986960 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 40986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75042816).

40986960 is an abundant number, since it is smaller than the sum of its proper divisors (109098672).

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

40986960 is a wasteful number, since it uses less digits than its factorization.

40986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 40986960 is about 6402.1059035289. The cubic root of 40986960 is about 344.7851634524.

The spelling of 40986960 in words is "forty million, nine hundred eighty-six thousand, nine hundred sixty".