235676880 has 120 divisors (see below), whose sum is σ = 817090560. Its totient is φ = 60814080.

The previous prime is 235676879. The next prime is 235676887. The reversal of 235676880 is 88676532.

235676880 is a `hidden beast` number, since 2 + 3 + 567 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235676887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17041 + ... + 27599.

It is an arithmetic number, because the mean of its divisors is an integer number (6809088).

Almost surely, 2^235676880 is an apocalyptic number.

235676880 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 235676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408545280).

235676880 is an abundant number, since it is smaller than the sum of its proper divisors (581413680).

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

235676880 is a wasteful number, since it uses less digits than its factorization.

235676880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 235676880 is about 15351.7712333138. The cubic root of 235676880 is about 617.6924979136.

The spelling of 235676880 in words is "two hundred thirty-five million, six hundred seventy-six thousand, eight hundred eighty".