1054126080 has 624 divisors, whose sum is σ = 4497841920. Its totient is φ = 222953472.

The previous prime is 1054126069. The next prime is 1054126093. The reversal of 1054126080 is 806214501.

1054126080 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 2 + 608 + 0 = 666.

It is a super-2 number, since 2×1054126080² = 2222363585072332800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24514539 + ... + 24514581.

It is an arithmetic number, because the mean of its divisors is an integer number (7208080).

Almost surely, 2^1054126080 is an apocalyptic number.

1054126080 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 1054126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248920960).

1054126080 is an abundant number, since it is smaller than the sum of its proper divisors (3443715840).

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

1054126080 is a wasteful number, since it uses less digits than its factorization.

1054126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1054126080 is about 32467.3078649894. The cubic root of 1054126080 is about 1017.7259604372.

The spelling of 1054126080 in words is "one billion, fifty-four million, one hundred twenty-six thousand, eighty".