87087840 has 96 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 19905024.

The previous prime is 87087829. The next prime is 87087863. The reversal of 87087840 is 4878078.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 87087792 and 87087801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9600 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^87087840 is an apocalyptic number.

87087840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87087840 is an abundant number, since it is smaller than the sum of its proper divisors (226440480).

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

87087840 is a wasteful number, since it uses less digits than its factorization.

87087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25944 (or 25936 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 87087840 is about 9332.0865833960. The cubic root of 87087840 is about 443.2538396800.

The spelling of 87087840 in words is "eighty-seven million, eighty-seven thousand, eight hundred forty".