1068252000 has 96 divisors (see below), whose sum is σ = 3499632864. Its totient is φ = 284864000.

The previous prime is 1068251981. The next prime is 1068252011. The reversal of 1068252000 is 2528601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1068252000² = 2282324671008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32511 + ... + 56510.

It is an arithmetic number, because the mean of its divisors is an integer number (36454509).

Almost surely, 2^1068252000 is an apocalyptic number.

1068252000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068252000 is an abundant number, since it is smaller than the sum of its proper divisors (2431380864).

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

1068252000 is an equidigital number, since it uses as much as digits as its factorization.

1068252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89049 (or 89031 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1068252000 is about 32684.1245867164. The cubic root of 1068252000 is about 1022.2518492428.

The spelling of 1068252000 in words is "one billion, sixty-eight million, two hundred fifty-two thousand".