1052894160 has 240 divisors, whose sum is σ = 3715208640. Its totient is φ = 274060800.

The previous prime is 1052894123. The next prime is 1052894179. The reversal of 1052894160 is 614982501.

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

It is a super-2 number, since 2×1052894160² = 2217172224324211200, 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 47 ways as a sum of consecutive naturals, for example, 8037295 + ... + 8037425.

It is an arithmetic number, because the mean of its divisors is an integer number (15480036).

Almost surely, 2^1052894160 is an apocalyptic number.

1052894160 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 1052894160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857604320).

1052894160 is an abundant number, since it is smaller than the sum of its proper divisors (2662314480).

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

1052894160 is a wasteful number, since it uses less digits than its factorization.

1052894160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 202 counting only the distinct ones).

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

The square root of 1052894160 is about 32448.3306196174. The cubic root of 1052894160 is about 1017.3293457394.

The spelling of 1052894160 in words is "one billion, fifty-two million, eight hundred ninety-four thousand, one hundred sixty".