126023040 has 640 divisors, whose sum is σ = 559833120. Its totient is φ = 26542080.

The previous prime is 126022979. The next prime is 126023041. The reversal of 126023040 is 40320621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×126023040² = 31763613221683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126023041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7413112 + ... + 7413128.

Almost surely, 2^126023040 is an apocalyptic number.

126023040 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 126023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279916560).

126023040 is an abundant number, since it is smaller than the sum of its proper divisors (433810080).

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

126023040 is a wasteful number, since it uses less digits than its factorization.

126023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 126023040 is about 11225.9983965793. The cubic root of 126023040 is about 501.3603488787.

126023040 divided by its product of nonzero digits (288) gives a triangular number (437580 = T₉₃₅).

Adding to 126023040 its reverse (40320621), we get a palindrome (166343661).

The spelling of 126023040 in words is "one hundred twenty-six million, twenty-three thousand, forty".