1264872090 has 64 divisors (see below), whose sum is σ = 3159129600. Its totient is φ = 323851584.

The previous prime is 1264872067. The next prime is 1264872113. The reversal of 1264872090 is 902784621.

It is an interprime number because it is at equal distance from previous prime (1264872067) and next prime (1264872113).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67801 + ... + 84419.

It is an arithmetic number, because the mean of its divisors is an integer number (49361400).

Almost surely, 2^1264872090 is an apocalyptic number.

1264872090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1264872090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579564800).

1264872090 is an abundant number, since it is smaller than the sum of its proper divisors (1894257510).

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

1264872090 is a wasteful number, since it uses less digits than its factorization.

1264872090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16731.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1264872090 is about 35565.0402783408. The cubic root of 1264872090 is about 1081.4726395532.

The spelling of 1264872090 in words is "one billion, two hundred sixty-four million, eight hundred seventy-two thousand, ninety".