4641624 has 160 divisors (see below), whose sum is σ = 15246000. Its totient is φ = 1306368.

The previous prime is 4641587. The next prime is 4641631. The reversal of 4641624 is 4261464.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160042 + ... + 160070.

Almost surely, 2^4641624 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 4641624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623000).

4641624 is an abundant number, since it is smaller than the sum of its proper divisors (10604376).

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

4641624 is a wasteful number, since it uses less digits than its factorization.

4641624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4641624 is about 2154.4428514119. The cubic root of 4641624 is about 166.8104749904.

It can be divided in two parts, 464162 and 4, that added together give a triangular number (464166 = T₉₆₃).

The spelling of 4641624 in words is "four million, six hundred forty-one thousand, six hundred twenty-four".