1190146320 has 360 divisors, whose sum is σ = 4630953600. Its totient is φ = 272954880.

The previous prime is 1190146313. The next prime is 1190146333. The reversal of 1190146320 is 236410911.

1190146320 is a `hidden beast` number, since 1 + 19 + 0 + 14 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1654921 + ... + 1655639.

It is an arithmetic number, because the mean of its divisors is an integer number (12863760).

Almost surely, 2^1190146320 is an apocalyptic number.

1190146320 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 1190146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315476800).

1190146320 is an abundant number, since it is smaller than the sum of its proper divisors (3440807280).

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

1190146320 is a wasteful number, since it uses less digits than its factorization.

1190146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1190146320 is about 34498.4973585807. The cubic root of 1190146320 is about 1059.7419331417.

The spelling of 1190146320 in words is "one billion, one hundred ninety million, one hundred forty-six thousand, three hundred twenty".