87980032 has 144 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 33619968.

The previous prime is 87980029. The next prime is 87980041. The reversal of 87980032 is 23008978.

It is a junction number, because it is equal to n+sod(n) for n = 87979973 and 87980000.

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 11 ways as a sum of consecutive naturals, for example, 4630519 + ... + 4630537.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2^87980032 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 87980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

87980032 is an abundant number, since it is smaller than the sum of its proper divisors (136688048).

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

87980032 is a wasteful number, since it uses less digits than its factorization.

87980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 87980032 is about 9379.7671612892. The cubic root of 87980032 is about 444.7623728156.

The spelling of 87980032 in words is "eighty-seven million, nine hundred eighty thousand, thirty-two".