1864201152 has 112 divisors (see below), whose sum is σ = 5614854912. Its totient is φ = 540334080.

The previous prime is 1864201067. The next prime is 1864201177. The reversal of 1864201152 is 2511024681.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29388 + ... + 67764.

Almost surely, 2^1864201152 is an apocalyptic number.

1864201152 is a gapful number since it is divisible by the number (12) 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 1864201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807427456).

1864201152 is an abundant number, since it is smaller than the sum of its proper divisors (3750653760).

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

1864201152 is a wasteful number, since it uses less digits than its factorization.

1864201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38426 (or 38416 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1864201152 is about 43176.3957736169. The cubic root of 1864201152 is about 1230.7341667639.

The spelling of 1864201152 in words is "one billion, eight hundred sixty-four million, two hundred one thousand, one hundred fifty-two".