9211345920 has 880 divisors, whose sum is σ = 39946959360. Its totient is φ = 1982693376.

The previous prime is 9211345919. The next prime is 9211345963. The reversal of 9211345920 is 295431129.

9211345920 is a `hidden beast` number, since 92 + 113 + 459 + 2 + 0 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55157677 + ... + 55157843.

It is an arithmetic number, because the mean of its divisors is an integer number (45394272).

Almost surely, 2^9211345920 is an apocalyptic number.

9211345920 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 9211345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19973479680).

9211345920 is an abundant number, since it is smaller than the sum of its proper divisors (30735613440).

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

9211345920 is a wasteful number, since it uses less digits than its factorization.

9211345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9211345920 is about 95975.7569389270. The cubic root of 9211345920 is about 2096.2401294334.

The spelling of 9211345920 in words is "nine billion, two hundred eleven million, three hundred forty-five thousand, nine hundred twenty".