1073875968 has 330 divisors, whose sum is σ = 3557776068. Its totient is φ = 322375680.

The previous prime is 1073875963. The next prime is 1073875973. The reversal of 1073875968 is 8695783701.

1073875968 is a `hidden beast` number, since 10 + 7 + 38 + 7 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1073875963) and next prime (1073875973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1073875963) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10036171 + ... + 10036277.

Almost surely, 2^1073875968 is an apocalyptic number.

1073875968 is a gapful number since it is divisible by the number (18) 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 1073875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778888034).

1073875968 is an abundant number, since it is smaller than the sum of its proper divisors (2483900100).

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

1073875968 is a wasteful number, since it uses less digits than its factorization.

1073875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 1073875968 is about 32770.0468110743. The cubic root of 1073875968 is about 1024.0426414535.

The spelling of 1073875968 in words is "one billion, seventy-three million, eight hundred seventy-five thousand, nine hundred sixty-eight".