234642640 has 80 divisors (see below), whose sum is σ = 558535680. Its totient is φ = 91653120.

The previous prime is 234642613. The next prime is 234642649. The reversal of 234642640 is 46246432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234642649) 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, 865705 + ... + 865975.

It is an arithmetic number, because the mean of its divisors is an integer number (6981696).

Almost surely, 2^234642640 is an apocalyptic number.

234642640 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 234642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279267840).

234642640 is an abundant number, since it is smaller than the sum of its proper divisors (323893040).

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

234642640 is a wasteful number, since it uses less digits than its factorization.

234642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 234642640 is about 15318.0494841869. The cubic root of 234642640 is about 616.7876162404.

It can be divided in two parts, 2346 and 42640, that multiplied together give a triangular number (100033440 = T₁₄₁₄₄).

The spelling of 234642640 in words is "two hundred thirty-four million, six hundred forty-two thousand, six hundred forty".