1146020832 has 192 divisors, whose sum is σ = 3746131200. Its totient is φ = 337789440.

The previous prime is 1146020809. The next prime is 1146020833. The reversal of 1146020832 is 2380206411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1146020796 and 1146020805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146020833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350019 + ... + 353277.

It is an arithmetic number, because the mean of its divisors is an integer number (19511100).

Almost surely, 2^1146020832 is an apocalyptic number.

1146020832 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 1146020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873065600).

1146020832 is an abundant number, since it is smaller than the sum of its proper divisors (2600110368).

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

1146020832 is a wasteful number, since it uses less digits than its factorization.

1146020832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1146020832 is about 33852.9294448797. The cubic root of 1146020832 is about 1046.4797704526.

The spelling of 1146020832 in words is "one billion, one hundred forty-six million, twenty thousand, eight hundred thirty-two".