1820815392 has 96 divisors (see below), whose sum is σ = 5335545600. Its totient is φ = 538917120.

The previous prime is 1820815369. The next prime is 1820815393. The reversal of 1820815392 is 2935180281.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1820815392² = 6630737383488227328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1820815392.

It is not an unprimeable number, because it can be changed into a prime (1820815393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25359 + ... + 65457.

It is an arithmetic number, because the mean of its divisors is an integer number (55578600).

Almost surely, 2^1820815392 is an apocalyptic number.

1820815392 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 1820815392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667772800).

1820815392 is an abundant number, since it is smaller than the sum of its proper divisors (3514730208).

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

1820815392 is a wasteful number, since it uses less digits than its factorization.

1820815392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40166 (or 40158 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1820815392 is about 42671.0134869094. The cubic root of 1820815392 is about 1221.1114550995. Note that the first 3 decimals are identical.

The spelling of 1820815392 in words is "one billion, eight hundred twenty million, eight hundred fifteen thousand, three hundred ninety-two".