231617664 has 128 divisors (see below), whose sum is σ = 707472000. Its totient is φ = 74511360.

The previous prime is 231617663. The next prime is 231617723. The reversal of 231617664 is 466716132.

It is a happy number.

231617664 is a `hidden beast` number, since 2 + 31 + 617 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (231617663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99069 + ... + 101379.

It is an arithmetic number, because the mean of its divisors is an integer number (5527125).

Almost surely, 2^231617664 is an apocalyptic number.

231617664 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 231617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353736000).

231617664 is an abundant number, since it is smaller than the sum of its proper divisors (475854336).

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

231617664 is a wasteful number, since it uses less digits than its factorization.

231617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2345 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 231617664 is about 15218.9902424570. The cubic root of 231617664 is about 614.1256343338.

The spelling of 231617664 in words is "two hundred thirty-one million, six hundred seventeen thousand, six hundred sixty-four".