87563840 has 224 divisors, whose sum is σ = 267638784. Its totient is φ = 26542080.

The previous prime is 87563797. The next prime is 87563863. The reversal of 87563840 is 4836578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 902672 + ... + 902768.

It is an arithmetic number, because the mean of its divisors is an integer number (1194816).

Almost surely, 2^87563840 is an apocalyptic number.

87563840 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 87563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133819392).

87563840 is an abundant number, since it is smaller than the sum of its proper divisors (180074944).

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

87563840 is a wasteful number, since it uses less digits than its factorization.

87563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 87563840 is about 9357.5552362783. Note that the first 3 decimals coincide. The cubic root of 87563840 is about 444.0599437505.

The spelling of 87563840 in words is "eighty-seven million, five hundred sixty-three thousand, eight hundred forty".