1064123424 has 288 divisors, whose sum is σ = 3922289280. Its totient is φ = 265752576.

The previous prime is 1064123399. The next prime is 1064123447. The reversal of 1064123424 is 4243214601.

It is a happy number.

1064123424 is a `hidden beast` number, since 10 + 641 + 2 + 3 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1064123424² = 2264717323010967552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496884 + ... + 499020.

It is an arithmetic number, because the mean of its divisors is an integer number (13619060).

Almost surely, 2^1064123424 is an apocalyptic number.

1064123424 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 1064123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961144640).

1064123424 is an abundant number, since it is smaller than the sum of its proper divisors (2858165856).

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

1064123424 is a wasteful number, since it uses less digits than its factorization.

1064123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1064123424 is about 32620.9047084841. The cubic root of 1064123424 is about 1020.9332174322.

The spelling of 1064123424 in words is "one billion, sixty-four million, one hundred twenty-three thousand, four hundred twenty-four".