10490688 has 112 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 3220992.

The previous prime is 10490687. The next prime is 10490699. The reversal of 10490688 is 88609401.

It is a happy number.

It is a super-2 number, since 2×10490688² = 220109069426688, 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 not an unprimeable number, because it can be changed into a prime (10490687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22231 + ... + 22697.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^10490688 is an apocalyptic number.

10490688 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 10490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

10490688 is an abundant number, since it is smaller than the sum of its proper divisors (22793472).

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

10490688 is a wasteful number, since it uses less digits than its factorization.

10490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10490688 is about 3238.9331576925. The cubic root of 10490688 is about 218.9112043847.

It can be divided in two parts, 1049068 and 8, that added together give a triangular number (1049076 = T₁₄₄₈).

The spelling of 10490688 in words is "ten million, four hundred ninety thousand, six hundred eighty-eight".