201552960 has 224 divisors, whose sum is σ = 741761280. Its totient is φ = 45416448.

The previous prime is 201552947. The next prime is 201552973. The reversal of 201552960 is 69255102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201552947) and next prime (201552973).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 597912 + ... + 598248.

Almost surely, 2^201552960 is an apocalyptic number.

201552960 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 201552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370880640).

201552960 is an abundant number, since it is smaller than the sum of its proper divisors (540208320).

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

201552960 is a wasteful number, since it uses less digits than its factorization.

201552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 201552960 is about 14196.9348804592. The cubic root of 201552960 is about 586.3132743128.

The spelling of 201552960 in words is "two hundred one million, five hundred fifty-two thousand, nine hundred sixty".