1054801664 has 72 divisors (see below), whose sum is σ = 2428026720. Its totient is φ = 447971328.

The previous prime is 1054801637. The next prime is 1054801667. The reversal of 1054801664 is 4661084501.

It is a super-2 number, since 2×1054801664² = 2225213100754337792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054801667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199892 + ... + 205100.

Almost surely, 2^1054801664 is an apocalyptic number.

1054801664 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 1054801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214013360).

1054801664 is an abundant number, since it is smaller than the sum of its proper divisors (1373225056).

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

1054801664 is an equidigital number, since it uses as much as digits as its factorization.

1054801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1054801664 is about 32477.7102641181. The cubic root of 1054801664 is about 1017.9433324562.

The spelling of 1054801664 in words is "one billion, fifty-four million, eight hundred one thousand, six hundred sixty-four".