749268 has 36 divisors (see below), whose sum is σ = 2040948. Its totient is φ = 230400.

The previous prime is 749267. The next prime is 749279. The reversal of 749268 is 862947.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 248004 = 708^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×749268² = 1122805071648, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 749268.

It is not an unprimeable number, because it can be changed into a prime (749267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (56693).

2⁷⁴⁹²⁶⁸ is an apocalyptic number.

749268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

749268 is an abundant number, since it is smaller than the sum of its proper divisors (1291680).

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

749268 is a wasteful number, since it uses less digits than its factorization.

749268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1619 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 749268 is about 865.6026802177. The cubic root of 749268 is about 90.8264615250.

The spelling of 749268 in words is "seven hundred forty-nine thousand, two hundred sixty-eight".