128106240 has 144 divisors (see below), whose sum is σ = 415651488. Its totient is φ = 33619968.

The previous prime is 128106239. The next prime is 128106257. The reversal of 128106240 is 42601821.

It is a super-2 number, since 2×128106240² = 32822417453875200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128106240.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 280092 + ... + 280548.

Almost surely, 2^128106240 is an apocalyptic number.

128106240 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 128106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207825744).

128106240 is an abundant number, since it is smaller than the sum of its proper divisors (287545248).

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

128106240 is an equidigital number, since it uses as much as digits as its factorization.

128106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

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

The square root of 128106240 is about 11318.4027141642. The cubic root of 128106240 is about 504.1078126626.

The spelling of 128106240 in words is "one hundred twenty-eight million, one hundred six thousand, two hundred forty".