128761920 has 224 divisors, whose sum is σ = 519379200. Its totient is φ = 29417472.

The previous prime is 128761903. The next prime is 128761921. The reversal of 128761920 is 29167821.

128761920 is a `hidden beast` number, since 12 + 8 + 7 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (128761921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59416 + ... + 61544.

Almost surely, 2^128761920 is an apocalyptic number.

128761920 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 128761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259689600).

128761920 is an abundant number, since it is smaller than the sum of its proper divisors (390617280).

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

128761920 is a wasteful number, since it uses less digits than its factorization.

128761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 128761920 is about 11347.3309637112. The cubic root of 128761920 is about 504.9663997512.

The spelling of 128761920 in words is "one hundred twenty-eight million, seven hundred sixty-one thousand, nine hundred twenty".