1264686160 has 40 divisors (see below), whose sum is σ = 2988610056. Its totient is φ = 497579520.

The previous prime is 1264686149. The next prime is 1264686161. The reversal of 1264686160 is 616864621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98327056 + 1166359104 = 9916^2 + 34152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264686161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124699 + ... + 134458.

Almost surely, 2^1264686160 is an apocalyptic number.

1264686160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264686160 is an abundant number, since it is smaller than the sum of its proper divisors (1723923896).

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

1264686160 is a wasteful number, since it uses less digits than its factorization.

1264686160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259231 (or 259225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1264686160 is about 35562.4262389393. The cubic root of 1264686160 is about 1081.4196465634.

The spelling of 1264686160 in words is "one billion, two hundred sixty-four million, six hundred eighty-six thousand, one hundred sixty".