201696264 has 256 divisors, whose sum is σ = 712857600. Its totient is φ = 51321600.

The previous prime is 201696263. The next prime is 201696277. The reversal of 201696264 is 462696102.

201696264 is a `hidden beast` number, since 20 + 1 + 6 + 9 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201696263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1114254 + ... + 1114434.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^201696264 is an apocalyptic number.

201696264 is a gapful number since it is divisible by the number (24) 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 201696264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

201696264 is an abundant number, since it is smaller than the sum of its proper divisors (511161336).

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

201696264 is a wasteful number, since it uses less digits than its factorization.

201696264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

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

The square root of 201696264 is about 14201.9809885804. The cubic root of 201696264 is about 586.4521974894.

The spelling of 201696264 in words is "two hundred one million, six hundred ninety-six thousand, two hundred sixty-four".