127020096 has 112 divisors (see below), whose sum is σ = 426801280. Its totient is φ = 36288000.

The previous prime is 127020083. The next prime is 127020121. The reversal of 127020096 is 690020721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×127020096² = 32268209575698432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6846 + ... + 17346.

Almost surely, 2^127020096 is an apocalyptic number.

127020096 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 127020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213400640).

127020096 is an abundant number, since it is smaller than the sum of its proper divisors (299781184).

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

127020096 is a wasteful number, since it uses less digits than its factorization.

127020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 127020096 is about 11270.3192501366. The cubic root of 127020096 is about 502.6790807473.

The spelling of 127020096 in words is "one hundred twenty-seven million, twenty thousand, ninety-six".