4116624 has 40 divisors (see below), whose sum is σ = 10728480. Its totient is φ = 1360128.

The previous prime is 4116617. The next prime is 4116641. The reversal of 4116624 is 4266114.

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 = 4116594 and 4116603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6364 + ... + 6980.

It is an arithmetic number, because the mean of its divisors is an integer number (268212).

Almost surely, 2^4116624 is an apocalyptic number.

It is an amenable number.

4116624 is an abundant number, since it is smaller than the sum of its proper divisors (6611856).

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

4116624 is a wasteful number, since it uses less digits than its factorization.

4116624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 761 counting only the distinct ones).

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

The square root of 4116624 is about 2028.9465246773. The cubic root of 4116624 is about 160.2680922068.

The spelling of 4116624 in words is "four million, one hundred sixteen thousand, six hundred twenty-four".