4101640 has 48 divisors (see below), whose sum is σ = 9614340. Its totient is φ = 1574400.

The previous prime is 4101623. The next prime is 4101653. The reversal of 4101640 is 461014.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93636 + 4008004 = 306^2 + 2002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67210 + ... + 67270.

Almost surely, 2^4101640 is an apocalyptic number.

4101640 is a gapful number since it is divisible by the number (40) 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 4101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807170).

4101640 is an abundant number, since it is smaller than the sum of its proper divisors (5512700).

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

4101640 is a wasteful number, since it uses less digits than its factorization.

4101640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4101640 is about 2025.2506017775. The cubic root of 4101640 is about 160.0734038191.

Adding to 4101640 its reverse (461014), we get a palindrome (4562654).

It can be divided in two parts, 410 and 1640, that multiplied together give a square (672400 = 820²).

The spelling of 4101640 in words is "four million, one hundred one thousand, six hundred forty".