854496 has 96 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 266112.

The previous prime is 854479. The next prime is 854527. The reversal of 854496 is 694458.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×854496⁴ (a number of 25 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 854496.

It is a congruent number.

It is an unprimeable number.

854496 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, 19851 + ... + 19893.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁸⁵⁴⁴⁹⁶ is an apocalyptic number.

854496 is a gapful number since it is divisible by the number (86) 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 854496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

854496 is an abundant number, since it is smaller than the sum of its proper divisors (1806624).

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

854496 is a wasteful number, since it uses less digits than its factorization.

854496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 854496 is about 924.3895282834. The cubic root of 854496 is about 94.8935465000.

The spelling of 854496 in words is "eight hundred fifty-four thousand, four hundred ninety-six".