87634872 has 160 divisors (see below), whose sum is σ = 269549280. Its totient is φ = 26438400.

The previous prime is 87634871. The next prime is 87634873. The reversal of 87634872 is 27843678.

It is a happy number.

87634872 is a `hidden beast` number, since 8 + 7 + 634 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87634871) and next prime (87634873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87634871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 850773 + ... + 850875.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 2^87634872 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 87634872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134774640).

87634872 is an abundant number, since it is smaller than the sum of its proper divisors (181914408).

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

87634872 is a wasteful number, since it uses less digits than its factorization.

87634872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87634872 is about 9361.3499026583. The cubic root of 87634872 is about 444.1799854658.

The spelling of 87634872 in words is "eighty-seven million, six hundred thirty-four thousand, eight hundred seventy-two".