87046080 has 112 divisors (see below), whose sum is σ = 301532544. Its totient is φ = 21099520.

The previous prime is 87046073. The next prime is 87046097. The reversal of 87046080 is 8064078.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 6439 + ... + 14681.

Almost surely, 2^87046080 is an apocalyptic number.

87046080 is a gapful number since it is divisible by the number (80) 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 87046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150766272).

87046080 is an abundant number, since it is smaller than the sum of its proper divisors (214486464).

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

87046080 is a wasteful number, since it uses less digits than its factorization.

87046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87046080 is about 9329.8488733741. The cubic root of 87046080 is about 443.1829792714.

It can be divided in two parts, 870460 and 80, that added together give a triangular number (870540 = T₁₃₁₉).

The spelling of 87046080 in words is "eighty-seven million, forty-six thousand, eighty".