823198140 has 240 divisors, whose sum is σ = 2779406784. Its totient is φ = 203212800.

The previous prime is 823198139. The next prime is 823198169. The reversal of 823198140 is 41891328.

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 = 823198095 and 823198104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1955130 + ... + 1955550.

Almost surely, 2^823198140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823198140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389703392).

823198140 is an abundant number, since it is smaller than the sum of its proper divisors (1956208644).

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

823198140 is a wasteful number, since it uses less digits than its factorization.

823198140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 823198140 is about 28691.4297308447. The cubic root of 823198140 is about 937.2054242498.

The spelling of 823198140 in words is "eight hundred twenty-three million, one hundred ninety-eight thousand, one hundred forty".