20101640 has 128 divisors (see below), whose sum is σ = 53222400. Its totient is φ = 6773760.

The previous prime is 20101637. The next prime is 20101661. The reversal of 20101640 is 4610102.

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, 467459 + ... + 467501.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^20101640 is an apocalyptic number.

20101640 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 20101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200).

20101640 is an abundant number, since it is smaller than the sum of its proper divisors (33120760).

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

20101640 is a wasteful number, since it uses less digits than its factorization.

20101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 20101640 is about 4483.4852514534. The cubic root of 20101640 is about 271.9008072565.

Adding to 20101640 its reverse (4610102), we get a palindrome (24711742).

The spelling of 20101640 in words is "twenty million, one hundred one thousand, six hundred forty".