1053737664 has 112 divisors (see below), whose sum is σ = 3197815296. Its totient is φ = 299980800.

The previous prime is 1053737623. The next prime is 1053737687. The reversal of 1053737664 is 4667373501.

It is a happy number.

1053737664 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 (112).

It is a super-2 number, since 2×1053737664² = 2220726129064353792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 416724 + ... + 419244.

Almost surely, 2^1053737664 is an apocalyptic number.

1053737664 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 1053737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598907648).

1053737664 is an abundant number, since it is smaller than the sum of its proper divisors (2144077632).

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

1053737664 is a wasteful number, since it uses less digits than its factorization.

1053737664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 1053737664 is about 32461.3256660907. The cubic root of 1053737664 is about 1017.6009438898.

The spelling of 1053737664 in words is "one billion, fifty-three million, seven hundred thirty-seven thousand, six hundred sixty-four".