232049664 has 352 divisors, whose sum is σ = 864652800. Its totient is φ = 59719680.

The previous prime is 232049639. The next prime is 232049683. The reversal of 232049664 is 466940232.

It is a tau number, because it is divible by the number of its divisors (352).

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

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 31 ways as a sum of consecutive naturals, for example, 2128842 + ... + 2128950.

It is an arithmetic number, because the mean of its divisors is an integer number (2456400).

Almost surely, 2^232049664 is an apocalyptic number.

232049664 is a gapful number since it is divisible by the number (24) 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 232049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432326400).

232049664 is an abundant number, since it is smaller than the sum of its proper divisors (632603136).

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

232049664 is a wasteful number, since it uses less digits than its factorization.

232049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 232049664 is about 15233.1764251583. The cubic root of 232049664 is about 614.5072078545.

Adding to 232049664 its reverse (466940232), we get a palindrome (698989896).

It can be divided in two parts, 2320 and 49664, that added together give a square (51984 = 228²).

The spelling of 232049664 in words is "two hundred thirty-two million, forty-nine thousand, six hundred sixty-four".