87537834 has 48 divisors (see below), whose sum is σ = 203505120. Its totient is φ = 28168560.

The previous prime is 87537833. The next prime is 87537841. The reversal of 87537834 is 43873578.

87537834 is a `hidden beast` number, since 87 + 537 + 8 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87537834.

It is not an unprimeable number, because it can be changed into a prime (87537833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10989 + ... + 17199.

It is an arithmetic number, because the mean of its divisors is an integer number (4239690).

Almost surely, 2^87537834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87537834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101752560).

87537834 is an abundant number, since it is smaller than the sum of its proper divisors (115967286).

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

87537834 is a wasteful number, since it uses less digits than its factorization.

87537834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6245 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 87537834 is about 9356.1655607412. The cubic root of 87537834 is about 444.0159782416.

The spelling of 87537834 in words is "eighty-seven million, five hundred thirty-seven thousand, eight hundred thirty-four".