1136013984 has 480 divisors, whose sum is σ = 4215214080. Its totient is φ = 292626432.

The previous prime is 1136013979. The next prime is 1136014027. The reversal of 1136013984 is 4893106311.

1136013984 is a `hidden beast` number, since 1 + 13 + 601 + 39 + 8 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8944929 + ... + 8945055.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^1136013984 is an apocalyptic number.

1136013984 is a gapful number since it is divisible by the number (14) 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 1136013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1136013984 is an abundant number, since it is smaller than the sum of its proper divisors (3079200096).

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

1136013984 is a wasteful number, since it uses less digits than its factorization.

1136013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1136013984 is about 33704.8065415009. The cubic root of 1136013984 is about 1043.4249706916.

The spelling of 1136013984 in words is "one billion, one hundred thirty-six million, thirteen thousand, nine hundred eighty-four".