9161904960 has 336 divisors, whose sum is σ = 34269371136. Its totient is φ = 2233184256.

The previous prime is 9161904949. The next prime is 9161904971. The reversal of 9161904960 is 694091619.

It is an interprime number because it is at equal distance from previous prime (9161904949) and next prime (9161904971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4004937 + ... + 4007223.

It is an arithmetic number, because the mean of its divisors is an integer number (101992176).

Almost surely, 2^9161904960 is an apocalyptic number.

9161904960 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 9161904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134685568).

9161904960 is an abundant number, since it is smaller than the sum of its proper divisors (25107466176).

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

9161904960 is a wasteful number, since it uses less digits than its factorization.

9161904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9161904960 is about 95717.8403433759. The cubic root of 9161904960 is about 2092.4829475792.

The spelling of 9161904960 in words is "nine billion, one hundred sixty-one million, nine hundred four thousand, nine hundred sixty".