1056641664 has 128 divisors (see below), whose sum is σ = 3200662080. Its totient is φ = 305971200.

The previous prime is 1056641659. The next prime is 1056641683. The reversal of 1056641664 is 4661466501.

It is a happy number.

1056641664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1056641664² = 2232983212201377792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78639 + ... + 91089.

Almost surely, 2^1056641664 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 1056641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600331040).

1056641664 is an abundant number, since it is smaller than the sum of its proper divisors (2144020416).

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

1056641664 is a wasteful number, since it uses less digits than its factorization.

1056641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12486 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1056641664 is about 32506.0250415211. The cubic root of 1056641664 is about 1018.5348900135.

The spelling of 1056641664 in words is "one billion, fifty-six million, six hundred forty-one thousand, six hundred sixty-four".