87682320 has 120 divisors (see below), whose sum is σ = 321265152. Its totient is φ = 21254400.

The previous prime is 87682303. The next prime is 87682333. The reversal of 87682320 is 2328678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2385 + ... + 13455.

Almost surely, 2^87682320 is an apocalyptic number.

87682320 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 87682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160632576).

87682320 is an abundant number, since it is smaller than the sum of its proper divisors (233582832).

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

87682320 is a wasteful number, since it uses less digits than its factorization.

87682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87682320 is about 9363.8838096166. The cubic root of 87682320 is about 444.2601348743.

The spelling of 87682320 in words is "eighty-seven million, six hundred eighty-two thousand, three hundred twenty".