127432320 has 128 divisors (see below), whose sum is σ = 419489280. Its totient is φ = 32870400.

The previous prime is 127432313. The next prime is 127432337. The reversal of 127432320 is 23234721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58450 + ... + 60590.

It is an arithmetic number, because the mean of its divisors is an integer number (3277260).

Almost surely, 2^127432320 is an apocalyptic number.

127432320 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 127432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640).

127432320 is an abundant number, since it is smaller than the sum of its proper divisors (292056960).

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

127432320 is a wasteful number, since it uses less digits than its factorization.

127432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 127432320 is about 11288.5924720489. The cubic root of 127432320 is about 503.2222825144. Note that the first 4 decimals are identical.

The spelling of 127432320 in words is "one hundred twenty-seven million, four hundred thirty-two thousand, three hundred twenty".