1064136672 has 144 divisors (see below), whose sum is σ = 3163436640. Its totient is φ = 338881536.

The previous prime is 1064136649. The next prime is 1064136763. The reversal of 1064136672 is 2766314601.

It is a happy number.

1064136672 is a `hidden beast` number, since 1 + 0 + 641 + 3 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1064136672² = 2264773713390471168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859638 + ... + 860874.

It is an arithmetic number, because the mean of its divisors is an integer number (21968310).

Almost surely, 2^1064136672 is an apocalyptic number.

1064136672 is a gapful number since it is divisible by the number (12) 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 1064136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581718320).

1064136672 is an abundant number, since it is smaller than the sum of its proper divisors (2099299968).

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

1064136672 is a wasteful number, since it uses less digits than its factorization.

1064136672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1064136672 is about 32621.1077678242. The cubic root of 1064136672 is about 1020.9374541798.

The spelling of 1064136672 in words is "one billion, sixty-four million, one hundred thirty-six thousand, six hundred seventy-two".