87835840 has 56 divisors (see below), whose sum is σ = 213146640. Its totient is φ = 34464768.

The previous prime is 87835819. The next prime is 87835843. The reversal of 87835840 is 4853878.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87835843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14371 + ... + 19549.

It is an arithmetic number, because the mean of its divisors is an integer number (3806190).

Almost surely, 2^87835840 is an apocalyptic number.

87835840 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 87835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106573320).

87835840 is an abundant number, since it is smaller than the sum of its proper divisors (125310800).

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

87835840 is a wasteful number, since it uses less digits than its factorization.

87835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 87835840 is about 9372.0776778684. The cubic root of 87835840 is about 444.5192637003.

The spelling of 87835840 in words is "eighty-seven million, eight hundred thirty-five thousand, eight hundred forty".