874368 has 128 divisors (see below), whose sum is σ = 2937600. Its totient is φ = 253440.

The previous prime is 874351. The next prime is 874373. The reversal of 874368 is 863478.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

874368 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 15 ways as a sum of consecutive naturals, for example, 38005 + ... + 38027.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁸⁷⁴³⁶⁸ is an apocalyptic number.

874368 is a gapful number since it is divisible by the number (88) 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 874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468800).

874368 is an abundant number, since it is smaller than the sum of its proper divisors (2063232).

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

874368 is a wasteful number, since it uses less digits than its factorization.

874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 874368 is about 935.0764674614. The cubic root of 874368 is about 95.6235255444.

The spelling of 874368 in words is "eight hundred seventy-four thousand, three hundred sixty-eight".