231624016 has 40 divisors (see below), whose sum is σ = 484672104. Its totient is φ = 106598400.

The previous prime is 231623999. The next prime is 231624017. The reversal of 231624016 is 610426132.

231624016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27248400 + 204375616 = 5220^2 + 14296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231624017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82020 + ... + 84796.

Almost surely, 2^231624016 is an apocalyptic number.

231624016 is a gapful number since it is divisible by the number (26) 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 231624016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242336052).

231624016 is an abundant number, since it is smaller than the sum of its proper divisors (253048088).

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

231624016 is a wasteful number, since it uses less digits than its factorization.

231624016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 231624016 is about 15219.1989276703. The cubic root of 231624016 is about 614.1312483132.

The spelling of 231624016 in words is "two hundred thirty-one million, six hundred twenty-four thousand, sixteen".