854993920 has 352 divisors, whose sum is σ = 2546795520. Its totient is φ = 271319040.

The previous prime is 854993899. The next prime is 854993941. The reversal of 854993920 is 29399458.

It is an interprime number because it is at equal distance from previous prime (854993899) and next prime (854993941).

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18191337 + ... + 18191383.

Almost surely, 2^854993920 is an apocalyptic number.

854993920 is a gapful number since it is divisible by the number (80) 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 854993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273397760).

854993920 is an abundant number, since it is smaller than the sum of its proper divisors (1691801600).

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

854993920 is a wasteful number, since it uses less digits than its factorization.

854993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 854993920 is about 29240.2790684357. The cubic root of 854993920 is about 949.1197460269.

The spelling of 854993920 in words is "eight hundred fifty-four million, nine hundred ninety-three thousand, nine hundred twenty".