1012984336 has 80 divisors (see below), whose sum is σ = 2461342464. Its totient is φ = 393149952.

The previous prime is 1012984327. The next prime is 1012984351. The reversal of 1012984336 is 6334892101.

It is a super-2 number, since 2×1012984336² = 2052274529962721792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012984295 and 1012984304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70605 + ... + 83731.

Almost surely, 2^1012984336 is an apocalyptic number.

1012984336 is a gapful number since it is divisible by the number (16) 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 1012984336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230671232).

1012984336 is an abundant number, since it is smaller than the sum of its proper divisors (1448358128).

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

1012984336 is a wasteful number, since it uses less digits than its factorization.

1012984336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13202 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1012984336 is about 31827.4148494659. The cubic root of 1012984336 is about 1004.3095134155.

The spelling of 1012984336 in words is "one billion, twelve million, nine hundred eighty-four thousand, three hundred thirty-six".