193425840 has 160 divisors (see below), whose sum is σ = 671832000. Its totient is φ = 51148800.

The previous prime is 193425809. The next prime is 193425887. The reversal of 193425840 is 48524391.

193425840 is a `hidden beast` number, since 193 + 425 + 8 + 40 = 666.

193425840 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 a junction number, because it is equal to n+sod(n) for n = 193425795 and 193425804.

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, 321540 + ... + 322140.

It is an arithmetic number, because the mean of its divisors is an integer number (4198950).

Almost surely, 2^193425840 is an apocalyptic number.

193425840 is a gapful number since it is divisible by the number (10) 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 193425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335916000).

193425840 is an abundant number, since it is smaller than the sum of its proper divisors (478406160).

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

193425840 is a wasteful number, since it uses less digits than its factorization.

193425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

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

The square root of 193425840 is about 13907.7618616368. The cubic root of 193425840 is about 578.3243750233.

The spelling of 193425840 in words is "one hundred ninety-three million, four hundred twenty-five thousand, eight hundred forty".