1012784136 has 192 divisors, whose sum is σ = 3275758080. Its totient is φ = 258370560.

The previous prime is 1012784131. The next prime is 1012784137. The reversal of 1012784136 is 6314872101.

1012784136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012784136² = 2051463412266532992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1012784097 and 1012784106.

It is not an unprimeable number, because it can be changed into a prime (1012784131) 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, 472860 + ... + 474996.

It is an arithmetic number, because the mean of its divisors is an integer number (17061240).

Almost surely, 2^1012784136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012784136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637879040).

1012784136 is an abundant number, since it is smaller than the sum of its proper divisors (2262973944).

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

1012784136 is a wasteful number, since it uses less digits than its factorization.

1012784136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1012784136 is about 31824.2696067011. The cubic root of 1012784136 is about 1004.2433472026.

The spelling of 1012784136 in words is "one billion, twelve million, seven hundred eighty-four thousand, one hundred thirty-six".