108464000 has 64 divisors (see below), whose sum is σ = 269708400. Its totient is φ = 43379200.

The previous prime is 108463991. The next prime is 108464003. The reversal of 108464000 is 464801.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108464003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12611 + ... + 19389.

Almost surely, 2^108464000 is an apocalyptic number.

108464000 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 108464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134854200).

108464000 is an abundant number, since it is smaller than the sum of its proper divisors (161244400).

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

108464000 is an frugal number, since it uses more digits than its factorization.

108464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 108464000 is about 10414.6051293364. The cubic root of 108464000 is about 476.9013357575.

It can be divided in two parts, 10 and 8464000, that multiplied together give a square (84640000 = 9200²).

The spelling of 108464000 in words is "one hundred eight million, four hundred sixty-four thousand".