1054089216 has 252 divisors, whose sum is σ = 3339084762. Its totient is φ = 319291392.

The previous prime is 1054089193. The next prime is 1054089247. The reversal of 1054089216 is 6129804501.

1054089216 is a `hidden beast` number, since 10 + 540 + 8 + 92 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1003622400 + 50466816 = 31680^2 + 7104^2 .

It is a super-2 number, since 2×1054089216² = 2222208150574989312, 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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36347890 + ... + 36347918.

Almost surely, 2^1054089216 is an apocalyptic number.

1054089216 is a gapful number since it is divisible by the number (16) 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 1054089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669542381).

1054089216 is an abundant number, since it is smaller than the sum of its proper divisors (2284995546).

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

1054089216 is an equidigital number, since it uses as much as digits as its factorization.

1054089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1054089216 is about 32466.7401504986. The cubic root of 1054089216 is about 1017.7140966169.

The spelling of 1054089216 in words is "one billion, fifty-four million, eighty-nine thousand, two hundred sixteen".