110460672 has 180 divisors, whose sum is σ = 376921776. Its totient is φ = 31518720.

The previous prime is 110460667. The next prime is 110460677. The reversal of 110460672 is 276064011.

It is an interprime number because it is at equal distance from previous prime (110460667) and next prime (110460677).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110460677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144772 + ... + 145532.

Almost surely, 2^110460672 is an apocalyptic number.

110460672 is a gapful number since it is divisible by the number (12) 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 110460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188460888).

110460672 is an abundant number, since it is smaller than the sum of its proper divisors (266461104).

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

110460672 is an frugal number, since it uses more digits than its factorization.

110460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 110460672 is about 10510.0272121436. The cubic root of 110460672 is about 479.8099247420.

It can be divided in two parts, 1104 and 60672, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 110460672 in words is "one hundred ten million, four hundred sixty thousand, six hundred seventy-two".