1264679136 has 192 divisors, whose sum is σ = 4279887360. Its totient is φ = 355829760.

The previous prime is 1264679111. The next prime is 1264679137. The reversal of 1264679136 is 6319764621.

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

It is a junction number, because it is equal to n+sod(n) for n = 1264679091 and 1264679100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264679137) 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, 403656 + ... + 406776.

It is an arithmetic number, because the mean of its divisors is an integer number (22291080).

Almost surely, 2^1264679136 is an apocalyptic number.

1264679136 is a gapful number since it is divisible by the number (16) 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 1264679136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139943680).

1264679136 is an abundant number, since it is smaller than the sum of its proper divisors (3015208224).

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

1264679136 is a wasteful number, since it uses less digits than its factorization.

1264679136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3200 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1264679136 is about 35562.3274828856. The cubic root of 1264679136 is about 1081.4176445105.

The spelling of 1264679136 in words is "one billion, two hundred sixty-four million, six hundred seventy-nine thousand, one hundred thirty-six".