1162872000 has 336 divisors, whose sum is σ = 4302215424. Its totient is φ = 299520000.

The previous prime is 1162871977. The next prime is 1162872013. The reversal of 1162872000 is 2782611.

1162872000 is a `hidden beast` number, since 11 + 628 + 7 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231740 + ... + 2232260.

Almost surely, 2^1162872000 is an apocalyptic number.

1162872000 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 1162872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151107712).

1162872000 is an abundant number, since it is smaller than the sum of its proper divisors (3139343424).

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

1162872000 is a wasteful number, since it uses less digits than its factorization.

1162872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1162872000 is about 34100.9090787914. The cubic root of 1162872000 is about 1051.5840037677.

The spelling of 1162872000 in words is "one billion, one hundred sixty-two million, eight hundred seventy-two thousand".