40987632 has 80 divisors (see below), whose sum is σ = 121817600. Its totient is φ = 11632896.

The previous prime is 40987627. The next prime is 40987637. The reversal of 40987632 is 23678904.

It is an interprime number because it is at equal distance from previous prime (40987627) and next prime (40987637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40987637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66558 + ... + 67170.

It is an arithmetic number, because the mean of its divisors is an integer number (1522720).

Almost surely, 2^40987632 is an apocalyptic number.

40987632 is a gapful number since it is divisible by the number (42) 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 40987632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60908800).

40987632 is an abundant number, since it is smaller than the sum of its proper divisors (80829968).

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

40987632 is a wasteful number, since it uses less digits than its factorization.

40987632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 40987632 is about 6402.1583860445. The cubic root of 40987632 is about 344.7870477457.

The spelling of 40987632 in words is "forty million, nine hundred eighty-seven thousand, six hundred thirty-two".