1054512720 has 240 divisors, whose sum is σ = 3791288592. Its totient is φ = 261734400.

The previous prime is 1054512659. The next prime is 1054512721. The reversal of 1054512720 is 272154501.

It can be written as a sum of positive squares in 8 ways, for example, as 10188864 + 1044323856 = 3192^2 + 32316^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1054512720² = 2223994153283596800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054512721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235814 + ... + 1236666.

It is a vampire number, since it can be written as 20472 ⋅ 51510 (with its own digits).

Almost surely, 2^1054512720 is an apocalyptic number.

1054512720 is a gapful number since it is divisible by the number (10) 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 1054512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895644296).

1054512720 is an abundant number, since it is smaller than the sum of its proper divisors (2736775872).

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

1054512720 is a wasteful number, since it uses less digits than its factorization.

1054512720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1054512720 is about 32473.2616162898. The cubic root of 1054512720 is about 1017.8503748607.

The spelling of 1054512720 in words is "one billion, fifty-four million, five hundred twelve thousand, seven hundred twenty".