1064835072 has 360 divisors, whose sum is σ = 3728104380. Its totient is φ = 301916160.

The previous prime is 1064835059. The next prime is 1064835131. The reversal of 1064835072 is 2705384601.

1064835072 is a `hidden beast` number, since 1 + 0 + 648 + 3 + 5 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×1064835072² = 2267747461122490368, 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 29 ways as a sum of consecutive naturals, for example, 8128447 + ... + 8128577.

Almost surely, 2^1064835072 is an apocalyptic number.

1064835072 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 1064835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864052190).

1064835072 is an abundant number, since it is smaller than the sum of its proper divisors (2663269308).

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

1064835072 is an equidigital number, since it uses as much as digits as its factorization.

1064835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1064835072 is about 32631.8107373771. The cubic root of 1064835072 is about 1021.1607546907.

The spelling of 1064835072 in words is "one billion, sixty-four million, eight hundred thirty-five thousand, seventy-two".