4135680 has 108 divisors (see below), whose sum is σ = 14348880. Its totient is φ = 1099776.

The previous prime is 4135627. The next prime is 4135717. The reversal of 4135680 is 865314.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 11341 + ... + 11699.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

Almost surely, 2^4135680 is an apocalyptic number.

4135680 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 4135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174440).

4135680 is an abundant number, since it is smaller than the sum of its proper divisors (10213200).

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

4135680 is a wasteful number, since it uses less digits than its factorization.

4135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4135680 is about 2033.6371357742. The cubic root of 4135680 is about 160.5150071856.

It can be divided in two parts, 41 and 35680, that added together give a square (35721 = 189²).

The spelling of 4135680 in words is "four million, one hundred thirty-five thousand, six hundred eighty".