1820840832 has 192 divisors, whose sum is σ = 5652738000. Its totient is φ = 560701440.

The previous prime is 1820840821. The next prime is 1820840849. The reversal of 1820840832 is 2380480281.

It is a happy number.

1820840832 is a `hidden beast` number, since 18 + 208 + 408 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1820840832² = 6630922670956904448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896394 + ... + 898422.

Almost surely, 2^1820840832 is an apocalyptic number.

1820840832 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 1820840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826369000).

1820840832 is an abundant number, since it is smaller than the sum of its proper divisors (3831897168).

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

1820840832 is a wasteful number, since it uses less digits than its factorization.

1820840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1820840832 is about 42671.3115804987. The cubic root of 1820840832 is about 1221.1171420994.

The spelling of 1820840832 in words is "one billion, eight hundred twenty million, eight hundred forty thousand, eight hundred thirty-two".