201092640 has 192 divisors, whose sum is σ = 732582144. Its totient is φ = 45416448.

The previous prime is 201092627. The next prime is 201092651. The reversal of 201092640 is 46290102.

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 201092640.

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, 325612 + ... + 326228.

It is an arithmetic number, because the mean of its divisors is an integer number (3815532).

Almost surely, 2^201092640 is an apocalyptic number.

201092640 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 201092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366291072).

201092640 is an abundant number, since it is smaller than the sum of its proper divisors (531489504).

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

201092640 is a wasteful number, since it uses less digits than its factorization.

201092640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 201092640 is about 14180.7136632823. The cubic root of 201092640 is about 585.8665803801.

The spelling of 201092640 in words is "two hundred one million, ninety-two thousand, six hundred forty".