87840732 has 144 divisors (see below), whose sum is σ = 253317120. Its totient is φ = 23587200.

The previous prime is 87840721. The next prime is 87840733. The reversal of 87840732 is 23704878.

It is a super-3 number, since 3×87840732³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87840733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111869 + ... + 1111947.

Almost surely, 2^87840732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87840732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

87840732 is an abundant number, since it is smaller than the sum of its proper divisors (165476388).

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

87840732 is a wasteful number, since it uses less digits than its factorization.

87840732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 87840732 is about 9372.3386622550. The cubic root of 87840732 is about 444.5275160183.

The spelling of 87840732 in words is "eighty-seven million, eight hundred forty thousand, seven hundred thirty-two".