4153680 has 100 divisors (see below), whose sum is σ = 14448852. Its totient is φ = 1105920.

The previous prime is 4153649. The next prime is 4153687. The reversal of 4153680 is 863514.

4153680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 1411344 = 1656^2 + 1188^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6160 + ... + 6800.

Almost surely, 2^4153680 is an apocalyptic number.

4153680 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 4153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224426).

4153680 is an abundant number, since it is smaller than the sum of its proper divisors (10295172).

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

4153680 is a wasteful number, since it uses less digits than its factorization.

4153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

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

The square root of 4153680 is about 2038.0578990794. The cubic root of 4153680 is about 160.7475435934.

It can be divided in two parts, 41536 and 80, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 4153680 in words is "four million, one hundred fifty-three thousand, six hundred eighty".