87093144 has 96 divisors (see below), whose sum is σ = 248451840. Its totient is φ = 28576800.

The previous prime is 87093113. The next prime is 87093163. The reversal of 87093144 is 44139078.

It is a happy number.

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 = 87093099 and 87093108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137709 + ... + 138339.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 2^87093144 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 87093144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

87093144 is an abundant number, since it is smaller than the sum of its proper divisors (161358696).

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

87093144 is a wasteful number, since it uses less digits than its factorization.

87093144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87093144 is about 9332.3707598873. The cubic root of 87093144 is about 443.2628381450.

The spelling of 87093144 in words is "eighty-seven million, ninety-three thousand, one hundred forty-four".