832149120 has 384 divisors, whose sum is σ = 3062888640. Its totient is φ = 190464000.

The previous prime is 832149103. The next prime is 832149121. The reversal of 832149120 is 21941238.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (832149121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20296300 + ... + 20296340.

Almost surely, 2^832149120 is an apocalyptic number.

832149120 is a gapful number since it is divisible by the number (80) 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 832149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531444320).

832149120 is an abundant number, since it is smaller than the sum of its proper divisors (2230739520).

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

832149120 is a wasteful number, since it uses less digits than its factorization.

832149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 832149120 is about 28846.9949908132. The cubic root of 832149120 is about 940.5900626016.

The spelling of 832149120 in words is "eight hundred thirty-two million, one hundred forty-nine thousand, one hundred twenty".