235073664 has 320 divisors, whose sum is σ = 829382400. Its totient is φ = 64696320.

The previous prime is 235073659. The next prime is 235073669. The reversal of 235073664 is 466370532.

235073664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (235073659) and next prime (235073669).

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

It is not an unprimeable number, because it can be changed into a prime (235073669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2975577 + ... + 2975655.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^235073664 is an apocalyptic number.

235073664 is a gapful number since it is divisible by the number (24) 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 235073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414691200).

235073664 is an abundant number, since it is smaller than the sum of its proper divisors (594308736).

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

235073664 is an equidigital number, since it uses as much as digits as its factorization.

235073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 235073664 is about 15332.1121832577. The cubic root of 235073664 is about 617.1650521118.

The spelling of 235073664 in words is "two hundred thirty-five million, seventy-three thousand, six hundred sixty-four".