201149760 has 224 divisors, whose sum is σ = 750539520. Its totient is φ = 44679168.

The previous prime is 201149759. The next prime is 201149761. The reversal of 201149760 is 67941102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201149759) and next prime (201149761).

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

It is a super-2 number, since 2×201149760² = 80922451896115200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201149761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248236 + ... + 249044.

Almost surely, 2^201149760 is an apocalyptic number.

201149760 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 201149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375269760).

201149760 is an abundant number, since it is smaller than the sum of its proper divisors (549389760).

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

201149760 is a wasteful number, since it uses less digits than its factorization.

201149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 201149760 is about 14182.7275232940. The cubic root of 201149760 is about 585.9220465755.

The spelling of 201149760 in words is "two hundred one million, one hundred forty-nine thousand, seven hundred sixty".