1191830640 has 640 divisors, whose sum is σ = 5123672064. Its totient is φ = 223027200.

The previous prime is 1191830623. The next prime is 1191830659. The reversal of 1191830640 is 460381911.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29069020 + ... + 29069060.

Almost surely, 2^1191830640 is an apocalyptic number.

1191830640 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 1191830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561836032).

1191830640 is an abundant number, since it is smaller than the sum of its proper divisors (3931841424).

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

1191830640 is a wasteful number, since it uses less digits than its factorization.

1191830640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1191830640 is about 34522.9002257922. The cubic root of 1191830640 is about 1060.2416204865.

The spelling of 1191830640 in words is "one billion, one hundred ninety-one million, eight hundred thirty thousand, six hundred forty".