9156913920 has 1440 divisors, whose sum is σ = 43307421696. Its totient is φ = 1791590400.

The previous prime is 9156913907. The next prime is 9156913943. The reversal of 9156913920 is 293196519.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 247484142 + ... + 247484178.

Almost surely, 2^9156913920 is an apocalyptic number.

9156913920 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 9156913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653710848).

9156913920 is an abundant number, since it is smaller than the sum of its proper divisors (34150507776).

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

9156913920 is a wasteful number, since it uses less digits than its factorization.

9156913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 9156913920 is about 95691.7651629439. The cubic root of 9156913920 is about 2092.1029115081.

The spelling of 9156913920 in words is "nine billion, one hundred fifty-six million, nine hundred thirteen thousand, nine hundred twenty".