1162162800 has 180 divisors, whose sum is σ = 4109797224. Its totient is φ = 304012800.

The previous prime is 1162162769. The next prime is 1162162811. The reversal of 1162162800 is 82612611.

1162162800 is a `hidden beast` number, since 1 + 16 + 21 + 628 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187755 + ... + 193845.

Almost surely, 2^1162162800 is an apocalyptic number.

1162162800 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 1162162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054898612).

1162162800 is an abundant number, since it is smaller than the sum of its proper divisors (2947634424).

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

1162162800 is a wasteful number, since it uses less digits than its factorization.

1162162800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1162162800 is about 34090.5089431061. The cubic root of 1162162800 is about 1051.3701840074.

The spelling of 1162162800 in words is "one billion, one hundred sixty-two million, one hundred sixty-two thousand, eight hundred".