201053664 has 180 divisors, whose sum is σ = 688265424. Its totient is φ = 57407616.

The previous prime is 201053653. The next prime is 201053689. The reversal of 201053664 is 466350102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126217 + ... + 127799.

Almost surely, 2^201053664 is an apocalyptic number.

201053664 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 201053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344132712).

201053664 is an abundant number, since it is smaller than the sum of its proper divisors (487211760).

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

201053664 is a wasteful number, since it uses less digits than its factorization.

201053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 201053664 is about 14179.3393358083. The cubic root of 201053664 is about 585.8287268294.

The spelling of 201053664 in words is "two hundred one million, fifty-three thousand, six hundred sixty-four".