112008064 has 64 divisors (see below), whose sum is σ = 261324000. Its totient is φ = 46817280.

The previous prime is 112008041. The next prime is 112008101. The reversal of 112008064 is 460800211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 35212 + ... + 38260.

Almost surely, 2^112008064 is an apocalyptic number.

112008064 is a gapful number since it is divisible by the number (14) 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 112008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130662000).

112008064 is an abundant number, since it is smaller than the sum of its proper divisors (149315936).

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

112008064 is an equidigital number, since it uses as much as digits as its factorization.

112008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 112008064 is about 10583.3862255896. The cubic root of 112008064 is about 482.0400212403.

Adding to 112008064 its reverse (460800211), we get a palindrome (572808275).

The spelling of 112008064 in words is "one hundred twelve million, eight thousand, sixty-four".