854964 has 72 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 241920.

The previous prime is 854963. The next prime is 854993. The reversal of 854964 is 469458.

854964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

Its product of digits (34560) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6669 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁸⁵⁴⁹⁶⁴ 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 854964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

854964 is an abundant number, since it is smaller than the sum of its proper divisors (1661004).

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

854964 is a wasteful number, since it uses less digits than its factorization.

854964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

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

The square root of 854964 is about 924.6426336699. The cubic root of 854964 is about 94.9108674605.

The spelling of 854964 in words is "eight hundred fifty-four thousand, nine hundred sixty-four".