87329088 has 252 divisors, whose sum is σ = 316199520. Its totient is φ = 22556160.

The previous prime is 87329071. The next prime is 87329089. The reversal of 87329088 is 88092378.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×87329088² = 15252739221823488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87329089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487783 + ... + 487961.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^87329088 is an apocalyptic number.

87329088 is a gapful number since it is divisible by the number (88) 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 87329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099760).

87329088 is an abundant number, since it is smaller than the sum of its proper divisors (228870432).

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

87329088 is a wasteful number, since it uses less digits than its factorization.

87329088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87329088 is about 9345.0033707859. The cubic root of 87329088 is about 443.6627582775.

It can be divided in two parts, 873290 and 88, that added together give a palindrome (873378).

The spelling of 87329088 in words is "eighty-seven million, three hundred twenty-nine thousand, eighty-eight".