1132819920 has 240 divisors, whose sum is σ = 4032991872. Its totient is φ = 284359680.

The previous prime is 1132819903. The next prime is 1132819967. The reversal of 1132819920 is 299182311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1132819920² = 2566561942297612800, 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 47 ways as a sum of consecutive naturals, for example, 1109010 + ... + 1110030.

Almost surely, 2^1132819920 is an apocalyptic number.

1132819920 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 1132819920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016495936).

1132819920 is an abundant number, since it is smaller than the sum of its proper divisors (2900171952).

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

1132819920 is a wasteful number, since it uses less digits than its factorization.

1132819920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1132819920 is about 33657.3902731629. The cubic root of 1132819920 is about 1042.4461404468.

It can be divided in two parts, 113281 and 9920, that added together give a square (123201 = 351²).

The spelling of 1132819920 in words is "one billion, one hundred thirty-two million, eight hundred nineteen thousand, nine hundred twenty".