801864 has 96 divisors (see below), whose sum is σ = 2608320. Its totient is φ = 217728.

The previous prime is 801859. The next prime is 801883. The reversal of 801864 is 468108.

It is a congruent number.

It is an unprimeable number.

801864 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 23 ways as a sum of consecutive naturals, for example, 18627 + ... + 18669.

It is an arithmetic number, because the mean of its divisors is an integer number (27170).

2⁸⁰¹⁸⁶⁴ is an apocalyptic number.

801864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304160).

801864 is an abundant number, since it is smaller than the sum of its proper divisors (1806456).

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

801864 is a wasteful number, since it uses less digits than its factorization.

801864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 801864 is about 895.4685924140. The cubic root of 801864 is about 92.9038200940.

The spelling of 801864 in words is "eight hundred one thousand, eight hundred sixty-four".