1072883808 has 72 divisors (see below), whose sum is σ = 3075141888. Its totient is φ = 354799872.

The previous prime is 1072883807. The next prime is 1072883837. The reversal of 1072883808 is 8083882701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072883807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21910 + ... + 51242.

It is an arithmetic number, because the mean of its divisors is an integer number (42710304).

Almost surely, 2^1072883808 is an apocalyptic number.

1072883808 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 1072883808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537570944).

1072883808 is an abundant number, since it is smaller than the sum of its proper divisors (2002258080).

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

1072883808 is a wasteful number, since it uses less digits than its factorization.

1072883808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29476 (or 29465 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1072883808 is about 32754.9050983208. The cubic root of 1072883808 is about 1023.7271713748.

The spelling of 1072883808 in words is "one billion, seventy-two million, eight hundred eighty-three thousand, eight hundred eight".