126801024 has 192 divisors, whose sum is σ = 410235840. Its totient is φ = 34535424.

The previous prime is 126801013. The next prime is 126801049. The reversal of 126801024 is 420108621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 126800985 and 126801003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432622 + ... + 432914.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2^126801024 is an apocalyptic number.

126801024 is a gapful number since it is divisible by the number (14) 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 126801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205117920).

126801024 is an abundant number, since it is smaller than the sum of its proper divisors (283434816).

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

126801024 is a wasteful number, since it uses less digits than its factorization.

126801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 126801024 is about 11260.5960765849. The cubic root of 126801024 is about 502.3899236623.

Adding to 126801024 its reverse (420108621), we get a palindrome (546909645).

The spelling of 126801024 in words is "one hundred twenty-six million, eight hundred one thousand, twenty-four".