127736896 has 56 divisors (see below), whose sum is σ = 291144960. Its totient is φ = 54469632.

The previous prime is 127736879. The next prime is 127736897. The reversal of 127736896 is 698637721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (127736897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106476 + ... + 107668.

Almost surely, 2^127736896 is an apocalyptic number.

127736896 is a gapful number since it is divisible by the number (16) 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 127736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145572480).

127736896 is an abundant number, since it is smaller than the sum of its proper divisors (163408064).

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

127736896 is a wasteful number, since it uses less digits than its factorization.

127736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1441 counting only the distinct ones).

The product of its digits is 762048, while the sum is 49.

The square root of 127736896 is about 11302.0748537603. The cubic root of 127736896 is about 503.6228807353.

The spelling of 127736896 in words is "one hundred twenty-seven million, seven hundred thirty-six thousand, eight hundred ninety-six".