838560 has 48 divisors (see below), whose sum is σ = 2642976. Its totient is φ = 223488.

The previous prime is 838553. The next prime is 838561. The reversal of 838560 is 65838.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838560.

It is not an unprimeable number, because it can be changed into a prime (838561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (55062).

2⁸³⁸⁵⁶⁰ is an apocalyptic number.

838560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838560 is an abundant number, since it is smaller than the sum of its proper divisors (1804416).

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

838560 is a wasteful number, since it uses less digits than its factorization.

838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 838560 is about 915.7292176184. The cubic root of 838560 is about 94.2999322649.

The spelling of 838560 in words is "eight hundred thirty-eight thousand, five hundred sixty".