110400864 has 96 divisors (see below), whose sum is σ = 339365376. Its totient is φ = 30766080.

The previous prime is 110400853. The next prime is 110400869. The reversal of 110400864 is 468004011.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110400869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25549 + ... + 29555.

It is an arithmetic number, because the mean of its divisors is an integer number (3535056).

Almost surely, 2^110400864 is an apocalyptic number.

110400864 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 110400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169682688).

110400864 is an abundant number, since it is smaller than the sum of its proper divisors (228964512).

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

110400864 is a wasteful number, since it uses less digits than its factorization.

110400864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 110400864 is about 10507.1815440678. The cubic root of 110400864 is about 479.7233127616.

Adding to 110400864 its reverse (468004011), we get a palindrome (578404875).

The spelling of 110400864 in words is "one hundred ten million, four hundred thousand, eight hundred sixty-four".