87258336 has 96 divisors (see below), whose sum is σ = 263088000. Its totient is φ = 25044480.

The previous prime is 87258329. The next prime is 87258401. The reversal of 87258336 is 63385278.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87258336² = 15228034402977792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17890 + ... + 22238.

It is an arithmetic number, because the mean of its divisors is an integer number (2740500).

Almost surely, 2^87258336 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 87258336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131544000).

87258336 is an abundant number, since it is smaller than the sum of its proper divisors (175829664).

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

87258336 is a wasteful number, since it uses less digits than its factorization.

87258336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4384 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 87258336 is about 9341.2170513269. The cubic root of 87258336 is about 443.5429108163.

The spelling of 87258336 in words is "eighty-seven million, two hundred fifty-eight thousand, three hundred thirty-six".