1201834368 has 384 divisors, whose sum is σ = 4241894400. Its totient is φ = 333849600.

The previous prime is 1201834349. The next prime is 1201834369. The reversal of 1201834368 is 8634381021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201834369) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7959093 + ... + 7959243.

It is an arithmetic number, because the mean of its divisors is an integer number (11046600).

Almost surely, 2^1201834368 is an apocalyptic number.

1201834368 is a gapful number since it is divisible by the number (18) 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 1201834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120947200).

1201834368 is an abundant number, since it is smaller than the sum of its proper divisors (3040060032).

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

1201834368 is a wasteful number, since it uses less digits than its factorization.

1201834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1201834368 is about 34667.4828621866. The cubic root of 1201834368 is about 1063.1997676421.

The spelling of 1201834368 in words is "one billion, two hundred one million, eight hundred thirty-four thousand, three hundred sixty-eight".