1190890800 has 720 divisors, whose sum is σ = 5019187680. Its totient is φ = 258048000.

The previous prime is 1190890693. The next prime is 1190890907. The reversal of 1190890800 is 80980911.

It is an interprime number because it is at equal distance from previous prime (1190890693) and next prime (1190890907).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19522770 + ... + 19522830.

It is an arithmetic number, because the mean of its divisors is an integer number (6971094).

Almost surely, 2^1190890800 is an apocalyptic number.

1190890800 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 1190890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509593840).

1190890800 is an abundant number, since it is smaller than the sum of its proper divisors (3828296880).

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

1190890800 is a wasteful number, since it uses less digits than its factorization.

1190890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1190890800 is about 34509.2857068934. The cubic root of 1190890800 is about 1059.9628561803.

The spelling of 1190890800 in words is "one billion, one hundred ninety million, eight hundred ninety thousand, eight hundred".