1835202096 has 630 divisors, whose sum is σ = 7068671460. Its totient is φ = 458535168.

The previous prime is 1835202053. The next prime is 1835202097. The reversal of 1835202096 is 6902025381.

1835202096 is digitally balanced in base 4, 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 self number, because there is not a number n which added to its sum of digits gives 1835202096.

It is not an unprimeable number, because it can be changed into a prime (1835202097) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 96589575 + ... + 96589593.

Almost surely, 2^1835202096 is an apocalyptic number.

1835202096 is a gapful number since it is divisible by the number (16) 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 1835202096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534335730).

1835202096 is an abundant number, since it is smaller than the sum of its proper divisors (5233469364).

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

1835202096 is a wasteful number, since it uses less digits than its factorization.

1835202096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1835202096 is about 42839.2588171177. The cubic root of 1835202096 is about 1224.3191209439.

The spelling of 1835202096 in words is "one billion, eight hundred thirty-five million, two hundred two thousand, ninety-six".