128496240 has 320 divisors, whose sum is σ = 485683200. Its totient is φ = 31104000.

The previous prime is 128496211. The next prime is 128496253. The reversal of 128496240 is 42694821.

128496240 is a `hidden beast` number, since 1 + 28 + 4 + 9 + 624 + 0 = 666.

It is a super-2 number, since 2×128496240² = 33022567388275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128496195 and 128496204.

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 63 ways as a sum of consecutive naturals, for example, 1272190 + ... + 1272290.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 2^128496240 is an apocalyptic number.

128496240 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 128496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

128496240 is an abundant number, since it is smaller than the sum of its proper divisors (357186960).

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

128496240 is a wasteful number, since it uses less digits than its factorization.

128496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 128496240 is about 11335.6182010511. The cubic root of 128496240 is about 504.6188543192.

The spelling of 128496240 in words is "one hundred twenty-eight million, four hundred ninety-six thousand, two hundred forty".