87911040 has 256 divisors, whose sum is σ = 332144640. Its totient is φ = 19353600.

The previous prime is 87911023. The next prime is 87911041. The reversal of 87911040 is 4011978.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 87910989 and 87911007.

It is not an unprimeable number, because it can be changed into a prime (87911041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416535 + ... + 416745.

It is an arithmetic number, because the mean of its divisors is an integer number (1297440).

Almost surely, 2^87911040 is an apocalyptic number.

87911040 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 87911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166072320).

87911040 is an abundant number, since it is smaller than the sum of its proper divisors (244233600).

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

87911040 is a wasteful number, since it uses less digits than its factorization.

87911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 87911040 is about 9376.0887367815. The cubic root of 87911040 is about 444.6460848001.

The spelling of 87911040 in words is "eighty-seven million, nine hundred eleven thousand, forty".