9415014960 has 320 divisors, whose sum is σ = 32653910016. Its totient is φ = 2228428800.

The previous prime is 9415014943. The next prime is 9415014977. The reversal of 9415014960 is 694105149.

It is a Cunningham number, because it is equal to 97031²-1.

It is an interprime number because it is at equal distance from previous prime (9415014943) and next prime (9415014977).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30079764 + ... + 30080076.

Almost surely, 2^9415014960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9415014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326955008).

9415014960 is an abundant number, since it is smaller than the sum of its proper divisors (23238895056).

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

9415014960 is a wasteful number, since it uses less digits than its factorization.

9415014960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9415014960 is about 97030.9999948470. Note that the first 5 decimals coincide. The cubic root of 9415014960 is about 2111.5773983708.

The spelling of 9415014960 in words is "nine billion, four hundred fifteen million, fourteen thousand, nine hundred sixty".