87145344 has 288 divisors, whose sum is σ = 307976760. Its totient is φ = 23316480.

The previous prime is 87145339. The next prime is 87145363. The reversal of 87145344 is 44354178.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 87145299 and 87145308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3788917 + ... + 3788939.

Almost surely, 2^87145344 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 87145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153988380).

87145344 is an abundant number, since it is smaller than the sum of its proper divisors (220831416).

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

87145344 is a wasteful number, since it uses less digits than its factorization.

87145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 87145344 is about 9335.1670579588. The cubic root of 87145344 is about 443.3513782141.

The spelling of 87145344 in words is "eighty-seven million, one hundred forty-five thousand, three hundred forty-four".