87437112 has 128 divisors (see below), whose sum is σ = 261980160. Its totient is φ = 23794560.

The previous prime is 87437111. The next prime is 87437113. The reversal of 87437112 is 21173478.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87437111) and next prime (87437113).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87437111) 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, 536343 + ... + 536505.

It is an arithmetic number, because the mean of its divisors is an integer number (2046720).

Almost surely, 2^87437112 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 87437112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130990080).

87437112 is an abundant number, since it is smaller than the sum of its proper divisors (174543048).

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

87437112 is a wasteful number, since it uses less digits than its factorization.

87437112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 87437112 is about 9350.7813577262. The cubic root of 87437112 is about 443.8456163196.

The spelling of 87437112 in words is "eighty-seven million, four hundred thirty-seven thousand, one hundred twelve".