87333840 has 120 divisors (see below), whose sum is σ = 319988448. Its totient is φ = 21169920.

The previous prime is 87333833. The next prime is 87333859. The reversal of 87333840 is 4833378.

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 junction number, because it is equal to n+sod(n) for n = 87333795 and 87333804.

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, 2407 + ... + 13433.

Almost surely, 2^87333840 is an apocalyptic number.

87333840 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 87333840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159994224).

87333840 is an abundant number, since it is smaller than the sum of its proper divisors (232654608).

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

87333840 is a wasteful number, since it uses less digits than its factorization.

87333840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057 (or 11048 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 87333840 is about 9345.2576208471. The cubic root of 87333840 is about 443.6708054136.

It can be divided in two parts, 873338 and 40, that added together give a palindrome (873378).

The spelling of 87333840 in words is "eighty-seven million, three hundred thirty-three thousand, eight hundred forty".