1012870264 has 64 divisors (see below), whose sum is σ = 2243520000. Its totient is φ = 419624064.

The previous prime is 1012870253. The next prime is 1012870267. The reversal of 1012870264 is 4620782101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012870267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336237 + ... + 339235.

It is an arithmetic number, because the mean of its divisors is an integer number (35055000).

Almost surely, 2^1012870264 is an apocalyptic number.

1012870264 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 1012870264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121760000).

1012870264 is an abundant number, since it is smaller than the sum of its proper divisors (1230649736).

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

1012870264 is a wasteful number, since it uses less digits than its factorization.

1012870264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1012870264 is about 31825.6227590286. The cubic root of 1012870264 is about 1004.2718136238.

The spelling of 1012870264 in words is "one billion, twelve million, eight hundred seventy thousand, two hundred sixty-four".