87963840 has 112 divisors (see below), whose sum is σ = 310347360. Its totient is φ = 23454720.

The previous prime is 87963809. The next prime is 87963847. The reversal of 87963840 is 4836978.

It is a happy number.

87963840 is a `hidden beast` number, since 8 + 7 + 9 + 638 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (87963847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550 + ... + 13730.

Almost surely, 2^87963840 is an apocalyptic number.

87963840 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 87963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155173680).

87963840 is an abundant number, since it is smaller than the sum of its proper divisors (222383520).

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

87963840 is a wasteful number, since it uses less digits than its factorization.

87963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87963840 is about 9378.9039871405. The cubic root of 87963840 is about 444.7350861915.

The spelling of 87963840 in words is "eighty-seven million, nine hundred sixty-three thousand, eight hundred forty".