1052068000 has 192 divisors, whose sum is σ = 2767564800. Its totient is φ = 391910400.

The previous prime is 1052067997. The next prime is 1052068007. The reversal of 1052068000 is 8602501.

It is a happy number.

It is a super-2 number, since 2×1052068000² = 2213694153248000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052068007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8283937 + ... + 8284063.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^1052068000 is an apocalyptic number.

1052068000 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 1052068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383782400).

1052068000 is an abundant number, since it is smaller than the sum of its proper divisors (1715496800).

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

1052068000 is a wasteful number, since it uses less digits than its factorization.

1052068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1052068000 is about 32435.5977284218. The cubic root of 1052068000 is about 1017.0631914989.

The spelling of 1052068000 in words is "one billion, fifty-two million, sixty-eight thousand".