1836286920 has 384 divisors, whose sum is σ = 6863875200. Its totient is φ = 422019072.

The previous prime is 1836286897. The next prime is 1836286927. The reversal of 1836286920 is 296826381.

1836286920 is a `hidden beast` number, since 18 + 3 + 628 + 6 + 9 + 2 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (1836286927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9514344 + ... + 9514536.

It is an arithmetic number, because the mean of its divisors is an integer number (17874675).

Almost surely, 2^1836286920 is an apocalyptic number.

1836286920 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 1836286920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431937600).

1836286920 is an abundant number, since it is smaller than the sum of its proper divisors (5027588280).

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

1836286920 is a wasteful number, since it uses less digits than its factorization.

1836286920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1836286920 is about 42851.9185101437. The cubic root of 1836286920 is about 1224.5603131178.

The spelling of 1836286920 in words is "one billion, eight hundred thirty-six million, two hundred eighty-six thousand, nine hundred twenty".