1190253680 has 320 divisors, whose sum is σ = 3730046976. Its totient is φ = 342144000.

The previous prime is 1190253679. The next prime is 1190253697. The reversal of 1190253680 is 863520911.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1190253680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4391945 + ... + 4392215.

Almost surely, 2^1190253680 is an apocalyptic number.

1190253680 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 1190253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865023488).

1190253680 is an abundant number, since it is smaller than the sum of its proper divisors (2539793296).

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

1190253680 is a wasteful number, since it uses less digits than its factorization.

1190253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1190253680 is about 34500.0533332921. The cubic root of 1190253680 is about 1059.7737977035.

The spelling of 1190253680 in words is "one billion, one hundred ninety million, two hundred fifty-three thousand, six hundred eighty".