1051968000 has 160 divisors (see below), whose sum is σ = 3498168960. Its totient is φ = 280473600.

The previous prime is 1051967977. The next prime is 1051968013. The reversal of 1051968000 is 8691501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1051968000² = 2213273346048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189261 + ... + 194739.

It is an arithmetic number, because the mean of its divisors is an integer number (21863556).

Almost surely, 2^1051968000 is an apocalyptic number.

1051968000 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 1051968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749084480).

1051968000 is an abundant number, since it is smaller than the sum of its proper divisors (2446200960).

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

1051968000 is an frugal number, since it uses more digits than its factorization.

1051968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1051968000 is about 32434.0561755695. The cubic root of 1051968000 is about 1017.0309662239.

The spelling of 1051968000 in words is "one billion, fifty-one million, nine hundred sixty-eight thousand".