11442720 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 2949120.

The previous prime is 11442713. The next prime is 11442727. The reversal of 11442720 is 2724411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11442713) and next prime (11442727).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442727) 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, 14496 + ... + 15264.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^11442720 is an apocalyptic number.

11442720 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 11442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

11442720 is an abundant number, since it is smaller than the sum of its proper divisors (25812960).

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

11442720 is a wasteful number, since it uses less digits than its factorization.

11442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11442720 is about 3382.7089735891. The cubic root of 11442720 is about 225.3424907482.

The spelling of 11442720 in words is "eleven million, four hundred forty-two thousand, seven hundred twenty".