87843840 has 352 divisors, whose sum is σ = 345861120. Its totient is φ = 18579456.

The previous prime is 87843839. The next prime is 87843851. The reversal of 87843840 is 4834878.

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

It is a junction number, because it is equal to n+sod(n) for n = 87843792 and 87843801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042859 + ... + 2042901.

It is an arithmetic number, because the mean of its divisors is an integer number (982560).

Almost surely, 2^87843840 is an apocalyptic number.

87843840 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 87843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172930560).

87843840 is an abundant number, since it is smaller than the sum of its proper divisors (258017280).

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

87843840 is a wasteful number, since it uses less digits than its factorization.

87843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 87843840 is about 9372.5044678570. The cubic root of 87843840 is about 444.5327587464.

The spelling of 87843840 in words is "eighty-seven million, eight hundred forty-three thousand, eight hundred forty".