10948500 has 96 divisors (see below), whose sum is σ = 35468160. Its totient is φ = 2916000.

The previous prime is 10948499. The next prime is 10948519. The reversal of 10948500 is 584901.

10948500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13095 + ... + 13905.

It is an arithmetic number, because the mean of its divisors is an integer number (369460).

Almost surely, 2^10948500 is an apocalyptic number.

10948500 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 10948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17734080).

10948500 is an abundant number, since it is smaller than the sum of its proper divisors (24519660).

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

10948500 is a wasteful number, since it uses less digits than its factorization.

10948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10948500 is about 3308.8517645854. The cubic root of 10948500 is about 222.0503903145.

The spelling of 10948500 in words is "ten million, nine hundred forty-eight thousand, five hundred".