1064038464 has 112 divisors (see below), whose sum is σ = 3136392000. Its totient is φ = 353737728.

The previous prime is 1064038463. The next prime is 1064038531. The reversal of 1064038464 is 4648304601.

1064038464 is a `hidden beast` number, since 1 + 0 + 640 + 3 + 8 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×1064038464² = 2264355705742958592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1064038463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013812 + ... + 1014860.

It is an arithmetic number, because the mean of its divisors is an integer number (28003500).

Almost surely, 2^1064038464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568196000).

1064038464 is an abundant number, since it is smaller than the sum of its proper divisors (2072353536).

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

1064038464 is a wasteful number, since it uses less digits than its factorization.

1064038464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1064038464 is about 32619.6024500606. The cubic root of 1064038464 is about 1020.9060461496.

The spelling of 1064038464 in words is "one billion, sixty-four million, thirty-eight thousand, four hundred sixty-four".