858193920 has 272 divisors, whose sum is σ = 3082789920. Its totient is φ = 226492416.

The previous prime is 858193909. The next prime is 858193927. The reversal of 858193920 is 29391858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858193927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847312 + ... + 8847408.

Almost surely, 2^858193920 is an apocalyptic number.

858193920 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 858193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541394960).

858193920 is an abundant number, since it is smaller than the sum of its proper divisors (2224596000).

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

858193920 is an frugal number, since it uses more digits than its factorization.

858193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 858193920 is about 29294.9470045604. The cubic root of 858193920 is about 950.3023672792.

The spelling of 858193920 in words is "eight hundred fifty-eight million, one hundred ninety-three thousand, nine hundred twenty".