87233814 has 72 divisors (see below), whose sum is σ = 205312680. Its totient is φ = 27453600.

The previous prime is 87233771. The next prime is 87233819. The reversal of 87233814 is 41833278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87233819) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2127634 + ... + 2127674.

It is an arithmetic number, because the mean of its divisors is an integer number (2851565).

Almost surely, 2^87233814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87233814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102656340).

87233814 is an abundant number, since it is smaller than the sum of its proper divisors (118078866).

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

87233814 is a wasteful number, since it uses less digits than its factorization.

87233814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 77 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 87233814 is about 9339.9043892323. The cubic root of 87233814 is about 443.5013576582.

The spelling of 87233814 in words is "eighty-seven million, two hundred thirty-three thousand, eight hundred fourteen".