239105664 has 192 divisors, whose sum is σ = 795600000. Its totient is φ = 67516416.

The previous prime is 239105651. The next prime is 239105717. The reversal of 239105664 is 466501932.

239105664 = T₈₅ + T₈₆ + ... + T₁₁₂₇.

It is a happy number.

239105664 is a `hidden beast` number, since 2 + 3 + 91 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201437 + ... + 1201635.

It is an arithmetic number, because the mean of its divisors is an integer number (4143750).

Almost surely, 2^239105664 is an apocalyptic number.

239105664 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 239105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800000).

239105664 is an abundant number, since it is smaller than the sum of its proper divisors (556494336).

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

239105664 is a wasteful number, since it uses less digits than its factorization.

239105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 239105664 is about 15463.0418740945. The cubic root of 239105664 is about 620.6736209600.

The spelling of 239105664 in words is "two hundred thirty-nine million, one hundred five thousand, six hundred sixty-four".