854153664 has 448 divisors, whose sum is σ = 3058728960. Its totient is φ = 204042240.

The previous prime is 854153603. The next prime is 854153669. The reversal of 854153664 is 466351458.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854153669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10290967 + ... + 10291049.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2^854153664 is an apocalyptic number.

854153664 is a gapful number since it is divisible by the number (84) 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 854153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529364480).

854153664 is an abundant number, since it is smaller than the sum of its proper divisors (2204575296).

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

854153664 is a wasteful number, since it uses less digits than its factorization.

854153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 854153664 is about 29225.9074110625. The cubic root of 854153664 is about 948.8087243391.

The spelling of 854153664 in words is "eight hundred fifty-four million, one hundred fifty-three thousand, six hundred sixty-four".