128226240 has 336 divisors, whose sum is σ = 489277152. Its totient is φ = 31850496.

The previous prime is 128226227. The next prime is 128226251. The reversal of 128226240 is 42622821.

It is a happy number.

128226240 is a `hidden beast` number, since 12 + 8 + 22 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321872 + ... + 1321968.

It is an arithmetic number, because the mean of its divisors is an integer number (1456182).

Almost surely, 2^128226240 is an apocalyptic number.

128226240 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 128226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244638576).

128226240 is an abundant number, since it is smaller than the sum of its proper divisors (361050912).

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

128226240 is an equidigital number, since it uses as much as digits as its factorization.

128226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 128226240 is about 11323.7025746882. The cubic root of 128226240 is about 504.2651665874.

The spelling of 128226240 in words is "one hundred twenty-eight million, two hundred twenty-six thousand, two hundred forty".