10785348 has 72 divisors (see below), whose sum is σ = 31496192. Its totient is φ = 3048192.

The previous prime is 10785347. The next prime is 10785371. The reversal of 10785348 is 84358701.

It is a super-2 number, since 2×10785348² = 232647462962208, which contains 22 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 (10785343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31836 + ... + 32172.

Almost surely, 2^10785348 is an apocalyptic number.

10785348 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 10785348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748096).

10785348 is an abundant number, since it is smaller than the sum of its proper divisors (20710844).

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

10785348 is a wasteful number, since it uses less digits than its factorization.

10785348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

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

The square root of 10785348 is about 3284.1053576279. The cubic root of 10785348 is about 220.9418846255.

The spelling of 10785348 in words is "ten million, seven hundred eighty-five thousand, three hundred forty-eight".