9401604660 has 192 divisors, whose sum is σ = 34881638400. Its totient is φ = 2055487104.

The previous prime is 9401604659. The next prime is 9401604677. The reversal of 9401604660 is 664061049.

9401604660 is a `hidden beast` number, since 9 + 40 + 1 + 604 + 6 + 6 + 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 63 ways as a sum of consecutive naturals, for example, 32871 + ... + 141009.

It is an arithmetic number, because the mean of its divisors is an integer number (181675200).

Almost surely, 2^9401604660 is an apocalyptic number.

9401604660 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 9401604660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17440819200).

9401604660 is an abundant number, since it is smaller than the sum of its proper divisors (25480033740).

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

9401604660 is a wasteful number, since it uses less digits than its factorization.

9401604660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108187 (or 108179 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9401604660 is about 96961.8721972714. The cubic root of 9401604660 is about 2110.5743784937.

The spelling of 9401604660 in words is "nine billion, four hundred one million, six hundred four thousand, six hundred sixty".