9071233920 has 384 divisors, whose sum is σ = 36052136640. Its totient is φ = 2058780672.

The previous prime is 9071233907. The next prime is 9071233939. The reversal of 9071233920 is 293321709.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6329524 + ... + 6330956.

Almost surely, 2^9071233920 is an apocalyptic number.

9071233920 is a gapful number since it is divisible by the number (90) 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 9071233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18026068320).

9071233920 is an abundant number, since it is smaller than the sum of its proper divisors (26980902720).

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

9071233920 is a wasteful number, since it uses less digits than its factorization.

9071233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9071233920 is about 95243.0255714296. The cubic root of 9071233920 is about 2085.5572790515.

The spelling of 9071233920 in words is "nine billion, seventy-one million, two hundred thirty-three thousand, nine hundred twenty".