126887040 has 256 divisors, whose sum is σ = 514080000. Its totient is φ = 28975104.

The previous prime is 126887029. The next prime is 126887041. The reversal of 126887040 is 40788621.

It is a super-2 number, since 2×126887040² = 32200641839923200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 126886986 and 126887004.

It is not an unprimeable number, because it can be changed into a prime (126887041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120436 + ... + 121484.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^126887040 is an apocalyptic number.

126887040 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 126887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

126887040 is an abundant number, since it is smaller than the sum of its proper divisors (387192960).

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

126887040 is a wasteful number, since it uses less digits than its factorization.

126887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1066 counting only the distinct ones).

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

The square root of 126887040 is about 11264.4147650910. The cubic root of 126887040 is about 502.5034974138.

The spelling of 126887040 in words is "one hundred twenty-six million, eight hundred eighty-seven thousand, forty".