10749240 has 128 divisors (see below), whose sum is σ = 36936000. Its totient is φ = 2778624.

The previous prime is 10749199. The next prime is 10749241. The reversal of 10749240 is 4294701.

It is a happy number.

It is a super-3 number, since 3×10749240³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10749241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39826 + ... + 40094.

Almost surely, 2^10749240 is an apocalyptic number.

10749240 is a gapful number since it is divisible by the number (10) 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 10749240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468000).

10749240 is an abundant number, since it is smaller than the sum of its proper divisors (26186760).

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

10749240 is a wasteful number, since it uses less digits than its factorization.

10749240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10749240 is about 3278.6033611890. The cubic root of 10749240 is about 220.6950470014.

The spelling of 10749240 in words is "ten million, seven hundred forty-nine thousand, two hundred forty".