4201680 has 160 divisors (see below), whose sum is σ = 15499008. Its totient is φ = 921600.

The previous prime is 4201649. The next prime is 4201699. The reversal of 4201680 is 861024.

It is a super-2 number, since 2×4201680² = 35308229644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68850 + ... + 68910.

Almost surely, 2^4201680 is an apocalyptic number.

4201680 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 4201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749504).

4201680 is an abundant number, since it is smaller than the sum of its proper divisors (11297328).

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

4201680 is a wasteful number, since it uses less digits than its factorization.

4201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4201680 is about 2049.7999902430. The cubic root of 4201680 is about 161.3643741167.

It can be divided in two parts, 420 and 1680, that multiplied together give a square (705600 = 840²).

The spelling of 4201680 in words is "four million, two hundred one thousand, six hundred eighty".