128197440 has 168 divisors, whose sum is σ = 504017280. Its totient is φ = 29297664.

The previous prime is 128197411. The next prime is 128197441. The reversal of 128197440 is 44791821.

128197440 is a `hidden beast` number, since 1 + 28 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 128197395 and 128197404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128197441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16981 + ... + 23339.

Almost surely, 2^128197440 is an apocalyptic number.

128197440 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 128197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252008640).

128197440 is an abundant number, since it is smaller than the sum of its proper divisors (375819840).

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

128197440 is a wasteful number, since it uses less digits than its factorization.

128197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 128197440 is about 11322.4308344101. The cubic root of 128197440 is about 504.2274106018.

The spelling of 128197440 in words is "one hundred twenty-eight million, one hundred ninety-seven thousand, four hundred forty".