1053443664 has 320 divisors, whose sum is σ = 3768647680. Its totient is φ = 274337280.

The previous prime is 1053443653. The next prime is 1053443669. The reversal of 1053443664 is 4663443501.

It is a super-2 number, since 2×1053443664² = 2219487106443489792, 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 not an unprimeable number, because it can be changed into a prime (1053443669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4992519 + ... + 4992729.

It is an arithmetic number, because the mean of its divisors is an integer number (11777024).

Almost surely, 2^1053443664 is an apocalyptic number.

1053443664 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 1053443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884323840).

1053443664 is an abundant number, since it is smaller than the sum of its proper divisors (2715204016).

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

1053443664 is a wasteful number, since it uses less digits than its factorization.

1053443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1053443664 is about 32456.7968844740. The cubic root of 1053443664 is about 1017.5062958839.

The spelling of 1053443664 in words is "one billion, fifty-three million, four hundred forty-three thousand, six hundred sixty-four".