854086632 has 128 divisors (see below), whose sum is σ = 2623795200. Its totient is φ = 226222848.

The previous prime is 854086601. The next prime is 854086637. The reversal of 854086632 is 236680458.

854086632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×854086632² = 1458927949922206848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (854086637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147178 + ... + 152870.

It is an arithmetic number, because the mean of its divisors is an integer number (20498400).

Almost surely, 2^854086632 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 854086632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311897600).

854086632 is an abundant number, since it is smaller than the sum of its proper divisors (1769708568).

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

854086632 is a wasteful number, since it uses less digits than its factorization.

854086632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 854086632 is about 29224.7605978218. The cubic root of 854086632 is about 948.7839035866.

The spelling of 854086632 in words is "eight hundred fifty-four million, eighty-six thousand, six hundred thirty-two".