235688040 has 288 divisors, whose sum is σ = 921922560. Its totient is φ = 52012800.

The previous prime is 235688029. The next prime is 235688041. The reversal of 235688040 is 40886532.

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

It is a junction number, because it is equal to n+sod(n) for n = 235687986 and 235688004.

It is not an unprimeable number, because it can be changed into a prime (235688041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546625 + ... + 547055.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2^235688040 is an apocalyptic number.

235688040 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 235688040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460961280).

235688040 is an abundant number, since it is smaller than the sum of its proper divisors (686234520).

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

235688040 is a wasteful number, since it uses less digits than its factorization.

235688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 235688040 is about 15352.1347049848. The cubic root of 235688040 is about 617.7022476176.

The spelling of 235688040 in words is "two hundred thirty-five million, six hundred eighty-eight thousand, forty".