1189340820 has 240 divisors, whose sum is σ = 3858457680. Its totient is φ = 306561024.

The previous prime is 1189340819. The next prime is 1189340857. The reversal of 1189340820 is 280439811.

It can be written as a sum of positive squares in 8 ways, for example, as 302968836 + 886371984 = 17406^2 + 29772^2 .

It is a super-2 number, since 2×1189340820² = 2829063172236544800, 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 79 ways as a sum of consecutive naturals, for example, 10525084 + ... + 10525196.

It is an arithmetic number, because the mean of its divisors is an integer number (16076907).

Almost surely, 2^1189340820 is an apocalyptic number.

1189340820 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 1189340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929228840).

1189340820 is an abundant number, since it is smaller than the sum of its proper divisors (2669116860).

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

1189340820 is a wasteful number, since it uses less digits than its factorization.

1189340820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1189340820 is about 34486.8209610570. The cubic root of 1189340820 is about 1059.5027987415.

The spelling of 1189340820 in words is "one billion, one hundred eighty-nine million, three hundred forty thousand, eight hundred twenty".