87361032 has 96 divisors (see below), whose sum is σ = 244188000. Its totient is φ = 26019840.

The previous prime is 87360997. The next prime is 87361039. The reversal of 87361032 is 23016378.

It is not an unprimeable number, because it can be changed into a prime (87361039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194344 + ... + 194792.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625).

Almost surely, 2^87361032 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 87361032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122094000).

87361032 is an abundant number, since it is smaller than the sum of its proper divisors (156826968).

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

87361032 is a wasteful number, since it uses less digits than its factorization.

87361032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 87361032 is about 9346.7123631788. The cubic root of 87361032 is about 443.7168473017.

The spelling of 87361032 in words is "eighty-seven million, three hundred sixty-one thousand, thirty-two".