807144 has 48 divisors (see below), whose sum is σ = 2196000. Its totient is φ = 247104.

The previous prime is 807127. The next prime is 807151. The reversal of 807144 is 441708.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

807144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3957 + ... + 4155.

It is an arithmetic number, because the mean of its divisors is an integer number (45750).

2⁸⁰⁷¹⁴⁴ 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 807144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098000).

807144 is an abundant number, since it is smaller than the sum of its proper divisors (1388856).

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

807144 is a wasteful number, since it uses less digits than its factorization.

807144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 807144 is about 898.4119322449. The cubic root of 807144 is about 93.1072874440.

The spelling of 807144 in words is "eight hundred seven thousand, one hundred forty-four".