4134624 has 48 divisors (see below), whose sum is σ = 11691792. Its totient is φ = 1271808.

The previous prime is 4134619. The next prime is 4134629. The reversal of 4134624 is 4264314.

4134624 = 222² + 223² + ... + 285².

It is an interprime number because it is at equal distance from previous prime (4134619) and next prime (4134629).

It is a tau number, because it is divible by the number of its divisors (48).

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 = 4134594 and 4134603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134629) 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, 409 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (243579).

Almost surely, 2^4134624 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 4134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845896).

4134624 is an abundant number, since it is smaller than the sum of its proper divisors (7557168).

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

4134624 is a wasteful number, since it uses less digits than its factorization.

4134624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3331 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 4134624 is about 2033.3774858594. The cubic root of 4134624 is about 160.5013441139.

Adding to 4134624 its reverse (4264314), we get a palindrome (8398938).

The spelling of 4134624 in words is "four million, one hundred thirty-four thousand, six hundred twenty-four".