197924832 has 144 divisors (see below), whose sum is σ = 664215552. Its totient is φ = 54708480.

The previous prime is 197924807. The next prime is 197924833. The reversal of 197924832 is 238429791.

197924832 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 (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197924833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60913 + ... + 64079.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 2^197924832 is an apocalyptic number.

197924832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197924832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332107776).

197924832 is an abundant number, since it is smaller than the sum of its proper divisors (466290720).

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

197924832 is a wasteful number, since it uses less digits than its factorization.

197924832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3210 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 197924832 is about 14068.5760473475. The cubic root of 197924832 is about 582.7739022665.

The spelling of 197924832 in words is "one hundred ninety-seven million, nine hundred twenty-four thousand, eight hundred thirty-two".