127693890 has 48 divisors (see below), whose sum is σ = 332911800. Its totient is φ = 33958656.

The previous prime is 127693883. The next prime is 127693897. The reversal of 127693890 is 98396721.

It is an interprime number because it is at equal distance from previous prime (127693883) and next prime (127693897).

It can be written as a sum of positive squares in 4 ways, for example, as 95238081 + 32455809 = 9759^2 + 5697^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (127693897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35076 + ... + 38544.

Almost surely, 2^127693890 is an apocalyptic number.

127693890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127693890 is an abundant number, since it is smaller than the sum of its proper divisors (205217910).

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

127693890 is a wasteful number, since it uses less digits than its factorization.

127693890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 127693890 is about 11300.1721225829. The cubic root of 127693890 is about 503.5663550762.

The spelling of 127693890 in words is "one hundred twenty-seven million, six hundred ninety-three thousand, eight hundred ninety".