1820408832 has 132 divisors (see below), whose sum is σ = 5734564056. Its totient is φ = 551608320.

The previous prime is 1820408819. The next prime is 1820408857. The reversal of 1820408832 is 2388040281.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (132).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92398 + ... + 110354.

Almost surely, 2^1820408832 is an apocalyptic number.

1820408832 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 1820408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867282028).

1820408832 is an abundant number, since it is smaller than the sum of its proper divisors (3914155224).

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

1820408832 is a wasteful number, since it uses less digits than its factorization.

1820408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994 (or 17973 counting only the distinct ones).

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

The square root of 1820408832 is about 42666.2493312923. The cubic root of 1820408832 is about 1221.0205632148.

The spelling of 1820408832 in words is "one billion, eight hundred twenty million, four hundred eight thousand, eight hundred thirty-two".