128263680 has 240 divisors, whose sum is σ = 469188720. Its totient is φ = 32292864.

The previous prime is 128263669. The next prime is 128263687. The reversal of 128263680 is 86362821.

128263680 is a `hidden beast` number, since 12 + 8 + 2 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128263687) 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, 437614 + ... + 437906.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2^128263680 is an apocalyptic number.

128263680 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 128263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

128263680 is an abundant number, since it is smaller than the sum of its proper divisors (340925040).

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

128263680 is a wasteful number, since it uses less digits than its factorization.

128263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

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

The square root of 128263680 is about 11325.3556235555. The cubic root of 128263680 is about 504.3142409179.

The spelling of 128263680 in words is "one hundred twenty-eight million, two hundred sixty-three thousand, six hundred eighty".