198357840 has 120 divisors (see below), whose sum is σ = 687717888. Its totient is φ = 51183360.

The previous prime is 198357833. The next prime is 198357847. The reversal of 198357840 is 48753891.

198357840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198357833) and next prime (198357847).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (198357847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17877 + ... + 26763.

Almost surely, 2^198357840 is an apocalyptic number.

198357840 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 198357840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343858944).

198357840 is an abundant number, since it is smaller than the sum of its proper divisors (489360048).

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

198357840 is a wasteful number, since it uses less digits than its factorization.

198357840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 198357840 is about 14083.9568303797. The cubic root of 198357840 is about 583.1985785782.

The spelling of 198357840 in words is "one hundred ninety-eight million, three hundred fifty-seven thousand, eight hundred forty".