4161624 has 32 divisors (see below), whose sum is σ = 10584000. Its totient is φ = 1363232.

The previous prime is 4161611. The next prime is 4161629. The reversal of 4161624 is 4261614.

It is a super-2 number, since 2×4161624² = 34638228634752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4161594 and 4161603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^4161624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292000).

4161624 is an abundant number, since it is smaller than the sum of its proper divisors (6422376).

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

4161624 is a wasteful number, since it uses less digits than its factorization.

4161624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3003 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4161624 is about 2040.0058823445. The cubic root of 4161624 is about 160.8499560138.

Subtracting from 4161624 its sum of digits (24), we obtain a square (4161600 = 2040²).

The spelling of 4161624 in words is "four million, one hundred sixty-one thousand, six hundred twenty-four".