201600960 has 224 divisors, whose sum is σ = 740005632. Its totient is φ = 45957120.

The previous prime is 201600937. The next prime is 201600979. The reversal of 201600960 is 69006102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201600960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178959 + ... + 180081.

Almost surely, 2^201600960 is an apocalyptic number.

201600960 is a gapful number since it is divisible by the number (20) 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 201600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370002816).

201600960 is an abundant number, since it is smaller than the sum of its proper divisors (538404672).

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

201600960 is a wasteful number, since it uses less digits than its factorization.

201600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201600960 is about 14198.6252855690. The cubic root of 201600960 is about 586.3598142782.

The spelling of 201600960 in words is "two hundred one million, six hundred thousand, nine hundred sixty".