10753488 has 60 divisors (see below), whose sum is σ = 30684420. Its totient is φ = 3514368.

The previous prime is 10753451. The next prime is 10753493. The reversal of 10753488 is 88435701.

It can be written as a sum of positive squares in 2 ways, for example, as 3069504 + 7683984 = 1752^2 + 2772^2 .

It is a super-2 number, since 2×10753488² = 231275008332288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6928 + ... + 8336.

It is an arithmetic number, because the mean of its divisors is an integer number (511407).

Almost surely, 2^10753488 is an apocalyptic number.

10753488 is a gapful number since it is divisible by the number (18) 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 10753488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342210).

10753488 is an abundant number, since it is smaller than the sum of its proper divisors (19930932).

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

10753488 is a wasteful number, since it uses less digits than its factorization.

10753488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 10753488 is about 3279.2511340244. The cubic root of 10753488 is about 220.7241153848.

The spelling of 10753488 in words is "ten million, seven hundred fifty-three thousand, four hundred eighty-eight".