1264434864 has 160 divisors (see below), whose sum is σ = 4089214464. Its totient is φ = 327075840.

The previous prime is 1264434859. The next prime is 1264434869. The reversal of 1264434864 is 4684344621.

It is an interprime number because it is at equal distance from previous prime (1264434859) and next prime (1264434869).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1264434869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156302 + ... + 1157394.

Almost surely, 2^1264434864 is an apocalyptic number.

1264434864 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 1264434864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044607232).

1264434864 is an abundant number, since it is smaller than the sum of its proper divisors (2824779600).

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

1264434864 is a wasteful number, since it uses less digits than its factorization.

1264434864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1429 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 1264434864 is about 35558.8928961519. The cubic root of 1264434864 is about 1081.3480149756.

The spelling of 1264434864 in words is "one billion, two hundred sixty-four million, four hundred thirty-four thousand, eight hundred sixty-four".