126878440 has 72 divisors (see below), whose sum is σ = 311398290. Its totient is φ = 46505472.

The previous prime is 126878413. The next prime is 126878459. The reversal of 126878440 is 44878621.

It can be written as a sum of positive squares in 9 ways, for example, as 45796 + 126832644 = 214^2 + 11262^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 126878393 and 126878402.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 926052 + ... + 926188.

Almost surely, 2^126878440 is an apocalyptic number.

126878440 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 126878440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155699145).

126878440 is an abundant number, since it is smaller than the sum of its proper divisors (184519850).

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

126878440 is a wasteful number, since it uses less digits than its factorization.

126878440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 126878440 is about 11264.0330255198. The cubic root of 126878440 is about 502.4921444611.

Multiplying 126878440 by its sum of digits (40), we get a square (5075137600 = 71240²).

126878440 divided by its sum of digits (40) gives a square (3171961 = 1781²).

The spelling of 126878440 in words is "one hundred twenty-six million, eight hundred seventy-eight thousand, four hundred forty".