11012640 has 48 divisors (see below), whose sum is σ = 34691328. Its totient is φ = 2936576.

The previous prime is 11012621. The next prime is 11012669. The reversal of 11012640 is 4621011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10992 + ... + 11951.

It is an arithmetic number, because the mean of its divisors is an integer number (722736).

Almost surely, 2^11012640 is an apocalyptic number.

11012640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012640 is an abundant number, since it is smaller than the sum of its proper divisors (23678688).

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

11012640 is a wasteful number, since it uses less digits than its factorization.

11012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22961 (or 22953 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11012640 is about 3318.5297949544. The cubic root of 11012640 is about 222.4831616260.

Adding to 11012640 its reverse (4621011), we get a palindrome (15633651).

It can be divided in two parts, 1101 and 2640, that added together give a triangular number (3741 = T₈₆).

The spelling of 11012640 in words is "eleven million, twelve thousand, six hundred forty".