60198624 has 72 divisors (see below), whose sum is σ = 175207032. Its totient is φ = 19595520.

The previous prime is 60198599. The next prime is 60198641. The reversal of 60198624 is 42689106.

60198624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9954 + ... + 14814.

It is an arithmetic number, because the mean of its divisors is an integer number (2433431).

Almost surely, 2^60198624 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 60198624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87603516).

60198624 is an abundant number, since it is smaller than the sum of its proper divisors (115008408).

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

60198624 is a wasteful number, since it uses less digits than its factorization.

60198624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 60198624 is about 7758.7772232485. Note that the first 3 decimals coincide. The cubic root of 60198624 is about 391.9182808969.

It can be divided in two parts, 601 and 98624, that added together give a square (99225 = 315²).

The spelling of 60198624 in words is "sixty million, one hundred ninety-eight thousand, six hundred twenty-four".