30641424 has 80 divisors (see below), whose sum is σ = 87208704. Its totient is φ = 9193600.

The previous prime is 30641407. The next prime is 30641437. The reversal of 30641424 is 42414603.

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

It is a junction number, because it is equal to n+sod(n) for n = 30641394 and 30641403.

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 15 ways as a sum of consecutive naturals, for example, 68947 + ... + 69389.

Almost surely, 2^30641424 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 30641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43604352).

30641424 is an abundant number, since it is smaller than the sum of its proper divisors (56567280).

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

30641424 is a wasteful number, since it uses less digits than its factorization.

30641424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

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

The square root of 30641424 is about 5535.4696277732. The cubic root of 30641424 is about 312.9221567044.

The spelling of 30641424 in words is "thirty million, six hundred forty-one thousand, four hundred twenty-four".