11258016 has 96 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 2922240.

The previous prime is 11258011. The next prime is 11258021. The reversal of 11258016 is 61085211.

It is an interprime number because it is at equal distance from previous prime (11258011) and next prime (11258021).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11258011) 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, 6631 + ... + 8153.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 2^11258016 is an apocalyptic number.

11258016 is a gapful number since it is divisible by the number (16) 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 11258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

11258016 is an abundant number, since it is smaller than the sum of its proper divisors (25610592).

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

11258016 is a wasteful number, since it uses less digits than its factorization.

11258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11258016 is about 3355.2967081914. The cubic root of 11258016 is about 224.1234438637.

The spelling of 11258016 in words is "eleven million, two hundred fifty-eight thousand, sixteen".