87927840 has 576 divisors, whose sum is σ = 409473792. Its totient is φ = 16588800.

The previous prime is 87927803. The next prime is 87927857. The reversal of 87927840 is 4872978.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441410 + ... + 1441470.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^87927840 is an apocalyptic number.

87927840 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 87927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

87927840 is an abundant number, since it is smaller than the sum of its proper divisors (321545952).

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

87927840 is a wasteful number, since it uses less digits than its factorization.

87927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87927840 is about 9376.9845899415. The cubic root of 87927840 is about 444.6744072892.

The spelling of 87927840 in words is "eighty-seven million, nine hundred twenty-seven thousand, eight hundred forty".