87823680 has 168 divisors, whose sum is σ = 324538848. Its totient is φ = 20063232.

The previous prime is 87823669. The next prime is 87823709. The reversal of 87823680 is 8632878.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46107 + ... + 47973.

Almost surely, 2^87823680 is an apocalyptic number.

87823680 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 87823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162269424).

87823680 is an abundant number, since it is smaller than the sum of its proper divisors (236715168).

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

87823680 is a wasteful number, since it uses less digits than its factorization.

87823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 87823680 is about 9371.4289198606. The cubic root of 87823680 is about 444.4987496606.

The spelling of 87823680 in words is "eighty-seven million, eight hundred twenty-three thousand, six hundred eighty".