1162224000 has 384 divisors, whose sum is σ = 4774236480. Its totient is φ = 265420800.

The previous prime is 1162223969. The next prime is 1162224001. The reversal of 1162224000 is 4222611.

1162224000 is a `hidden beast` number, since 1 + 1 + 622 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162224001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007424 + ... + 1008576.

Almost surely, 2^1162224000 is an apocalyptic number.

1162224000 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 1162224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387118240).

1162224000 is an abundant number, since it is smaller than the sum of its proper divisors (3612012480).

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

1162224000 is a wasteful number, since it uses less digits than its factorization.

1162224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1162224000 is about 34091.4065418252. The cubic root of 1162224000 is about 1051.3886388876.

Adding to 1162224000 its reverse (4222611), we get a palindrome (1166446611).

The spelling of 1162224000 in words is "one billion, one hundred sixty-two million, two hundred twenty-four thousand".