87423840 has 384 divisors, whose sum is σ = 362880000. Its totient is φ = 19643904.

The previous prime is 87423803. The next prime is 87423857. The reversal of 87423840 is 4832478.

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 = 87423795 and 87423804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481731 + ... + 1481789.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^87423840 is an apocalyptic number.

87423840 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 87423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

87423840 is an abundant number, since it is smaller than the sum of its proper divisors (275456160).

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

87423840 is a wasteful number, since it uses less digits than its factorization.

87423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 87423840 is about 9350.0716574794. The cubic root of 87423840 is about 443.8231582087.

The spelling of 87423840 in words is "eighty-seven million, four hundred twenty-three thousand, eight hundred forty".