735023268 has 192 divisors, whose sum is σ = 2282291200. Its totient is φ = 200154240.

The previous prime is 735023257. The next prime is 735023269. The reversal of 735023268 is 862320537.

735023268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×735023268³ (a number of 28 digits) contains 333 as substring.

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 (735023269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851246 + ... + 1851642.

Almost surely, 2^735023268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735023268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141145600).

735023268 is an abundant number, since it is smaller than the sum of its proper divisors (1547267932).

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

735023268 is a wasteful number, since it uses less digits than its factorization.

735023268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 735023268 is about 27111.3125466105. The cubic root of 735023268 is about 902.4719155990.

The spelling of 735023268 in words is "seven hundred thirty-five million, twenty-three thousand, two hundred sixty-eight".