127413468 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 30108672.

The previous prime is 127413467. The next prime is 127413497. The reversal of 127413468 is 864314721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127413467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431568 + ... + 1431656.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^127413468 is an apocalyptic number.

127413468 is a gapful number since it is divisible by the number (18) 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 127413468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

127413468 is an abundant number, since it is smaller than the sum of its proper divisors (312880932).

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

127413468 is a wasteful number, since it uses less digits than its factorization.

127413468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 127413468 is about 11287.7574389247. The cubic root of 127413468 is about 503.1974661666.

It can be divided in two parts, 127413 and 468, that multiplied together give a square (59629284 = 7722²).

The spelling of 127413468 in words is "one hundred twenty-seven million, four hundred thirteen thousand, four hundred sixty-eight".