87847032 has 256 divisors, whose sum is σ = 298368000. Its totient is φ = 20901888.

The previous prime is 87847031. The next prime is 87847033. The reversal of 87847032 is 23074878.

It is an interprime number because it is at equal distance from previous prime (87847031) and next prime (87847033).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87847031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1203348 + ... + 1203420.

It is an arithmetic number, because the mean of its divisors is an integer number (1165500).

Almost surely, 2^87847032 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 87847032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184000).

87847032 is an abundant number, since it is smaller than the sum of its proper divisors (210520968).

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

87847032 is a wasteful number, since it uses less digits than its factorization.

87847032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

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

The square root of 87847032 is about 9372.6747516384. The cubic root of 87847032 is about 444.5381430412.

The spelling of 87847032 in words is "eighty-seven million, eight hundred forty-seven thousand, thirty-two".