126478080 has 108 divisors (see below), whose sum is σ = 437640840. Its totient is φ = 33724416.

The previous prime is 126478073. The next prime is 126478091. The reversal of 126478080 is 80874621.

126478080 is a `hidden beast` number, since 1 + 2 + 647 + 8 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6031 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (4052230).

Almost surely, 2^126478080 is an apocalyptic number.

126478080 is a gapful number since it is divisible by the number (10) 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 126478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218820420).

126478080 is an abundant number, since it is smaller than the sum of its proper divisors (311162760).

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

126478080 is a wasteful number, since it uses less digits than its factorization.

126478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 126478080 is about 11246.2473741244. The cubic root of 126478080 is about 501.9630560687.

The spelling of 126478080 in words is "one hundred twenty-six million, four hundred seventy-eight thousand, eighty".