1012884264 has 224 divisors, whose sum is σ = 3335661120. Its totient is φ = 282175488.

The previous prime is 1012884251. The next prime is 1012884311. The reversal of 1012884264 is 4624882101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1755144 + ... + 1755720.

Almost surely, 2^1012884264 is an apocalyptic number.

1012884264 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 1012884264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667830560).

1012884264 is an abundant number, since it is smaller than the sum of its proper divisors (2322776856).

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

1012884264 is an equidigital number, since it uses as much as digits as its factorization.

1012884264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1012884264 is about 31825.8427068318. The cubic root of 1012884264 is about 1004.2764406529.

The spelling of 1012884264 in words is "one billion, twelve million, eight hundred eighty-four thousand, two hundred sixty-four".