11198640 has 80 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 2881536.

The previous prime is 11198599. The next prime is 11198687. The reversal of 11198640 is 4689111.

11198640 = 576² + 577² + ... + 607².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11198598 and 11198607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6156 + ... + 7764.

It is an arithmetic number, because the mean of its divisors is an integer number (449190).

Almost surely, 2^11198640 is an apocalyptic number.

11198640 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 11198640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

11198640 is an abundant number, since it is smaller than the sum of its proper divisors (24736560).

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

11198640 is a wasteful number, since it uses less digits than its factorization.

11198640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11198640 is about 3346.4369111041. The cubic root of 11198640 is about 223.7287319964.

The spelling of 11198640 in words is "eleven million, one hundred ninety-eight thousand, six hundred forty".