87834516 has 96 divisors (see below), whose sum is σ = 266692608. Its totient is φ = 21816960.

The previous prime is 87834469. The next prime is 87834547. The reversal of 87834516 is 61543878.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19186 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2^87834516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87834516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133346304).

87834516 is an abundant number, since it is smaller than the sum of its proper divisors (178858092).

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

87834516 is a wasteful number, since it uses less digits than its factorization.

87834516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4179 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 87834516 is about 9372.0070422509. The cubic root of 87834516 is about 444.5170301911.

The spelling of 87834516 in words is "eighty-seven million, eight hundred thirty-four thousand, five hundred sixteen".