9619122240 has 1008 divisors, whose sum is σ = 43597811712. Its totient is φ = 1895104512.

The previous prime is 9619122209. The next prime is 9619122241. The reversal of 9619122240 is 422219169.

9619122240 is a `hidden beast` number, since 9 + 619 + 12 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 9619122195 and 9619122204.

It is not an unprimeable number, because it can be changed into a prime (9619122241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75741057 + ... + 75741183.

Almost surely, 2^9619122240 is an apocalyptic number.

9619122240 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 9619122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798905856).

9619122240 is an abundant number, since it is smaller than the sum of its proper divisors (33978689472).

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

9619122240 is a wasteful number, since it uses less digits than its factorization.

9619122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9619122240 is about 98077.1239382559. The cubic root of 9619122240 is about 2126.7273421869.

The spelling of 9619122240 in words is "nine billion, six hundred nineteen million, one hundred twenty-two thousand, two hundred forty".