127074816 has 240 divisors, whose sum is σ = 421312320. Its totient is φ = 36495360.

The previous prime is 127074769. The next prime is 127074817. The reversal of 127074816 is 618470721.

It is a super-2 number, since 2×127074816² = 32296017722867712, which contains 22 as substring.

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 (127074817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165770 + ... + 1165878.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 2^127074816 is an apocalyptic number.

127074816 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 127074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

127074816 is an abundant number, since it is smaller than the sum of its proper divisors (294237504).

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

127074816 is a wasteful number, since it uses less digits than its factorization.

127074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 127074816 is about 11272.7466040890. The cubic root of 127074816 is about 502.7512547607.

The spelling of 127074816 in words is "one hundred twenty-seven million, seventy-four thousand, eight hundred sixteen".