87811344 has 160 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 27630720.

The previous prime is 87811343. The next prime is 87811387. The reversal of 87811344 is 44311878.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87811299 and 87811308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87811343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057927 + ... + 1058009.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^87811344 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 87811344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

87811344 is an abundant number, since it is smaller than the sum of its proper divisors (178838256).

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

87811344 is a wasteful number, since it uses less digits than its factorization.

87811344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 87811344 is about 9370.7707260396. The cubic root of 87811344 is about 444.4779367723.

The spelling of 87811344 in words is "eighty-seven million, eight hundred eleven thousand, three hundred forty-four".