4164720 has 160 divisors (see below), whose sum is σ = 15379968. Its totient is φ = 912384.

The previous prime is 4164709. The next prime is 4164737. The reversal of 4164720 is 274614.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

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, 62127 + ... + 62193.

Almost surely, 2^4164720 is an apocalyptic number.

4164720 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 4164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689984).

4164720 is an abundant number, since it is smaller than the sum of its proper divisors (11215248).

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

4164720 is a wasteful number, since it uses less digits than its factorization.

4164720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4164720 is about 2040.7645626088. The cubic root of 4164720 is about 160.8898337172.

It can be divided in two parts, 4164 and 720, that added together give a palindrome (4884).

The spelling of 4164720 in words is "four million, one hundred sixty-four thousand, seven hundred twenty".