123533664 has 48 divisors (see below), whose sum is σ = 325185840. Its totient is φ = 41062400.

The previous prime is 123533653. The next prime is 123533689. The reversal of 123533664 is 466335321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×123533664² = 30521132282529792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36892 + ... + 40100.

It is an arithmetic number, because the mean of its divisors is an integer number (6774705).

Almost surely, 2^123533664 is an apocalyptic number.

It is an amenable number.

123533664 is an abundant number, since it is smaller than the sum of its proper divisors (201652176).

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

123533664 is a wasteful number, since it uses less digits than its factorization.

123533664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3615 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 123533664 is about 11114.5698972115. The cubic root of 123533664 is about 498.0371901711.

Adding to 123533664 its reverse (466335321), we get a palindrome (589868985).

The spelling of 123533664 in words is "one hundred twenty-three million, five hundred thirty-three thousand, six hundred sixty-four".