231742080 has 128 divisors (see below), whose sum is σ = 820814400. Its totient is φ = 61793280.

The previous prime is 231742009. The next prime is 231742097. The reversal of 231742080 is 80247132.

231742080 is a `hidden beast` number, since 231 + 7 + 420 + 8 + 0 = 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10575 + ... + 23985.

Almost surely, 2^231742080 is an apocalyptic number.

231742080 is a gapful number since it is divisible by the number (20) 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 231742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410407200).

231742080 is an abundant number, since it is smaller than the sum of its proper divisors (589072320).

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

231742080 is a wasteful number, since it uses less digits than its factorization.

231742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13439 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 231742080 is about 15223.0772184864. The cubic root of 231742080 is about 614.2355761185.

The spelling of 231742080 in words is "two hundred thirty-one million, seven hundred forty-two thousand, eighty".