87382746 has 64 divisors (see below), whose sum is σ = 213413760. Its totient is φ = 26282880.

The previous prime is 87382739. The next prime is 87382747. The reversal of 87382746 is 64728378.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87382747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92790 + ... + 93726.

It is an arithmetic number, because the mean of its divisors is an integer number (3334590).

Almost surely, 2^87382746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87382746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106706880).

87382746 is an abundant number, since it is smaller than the sum of its proper divisors (126031014).

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

87382746 is a wasteful number, since it uses less digits than its factorization.

87382746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87382746 is about 9347.8738759142. The cubic root of 87382746 is about 443.7536069005.

The spelling of 87382746 in words is "eighty-seven million, three hundred eighty-two thousand, seven hundred forty-six".