126636510 has 128 divisors (see below), whose sum is σ = 408167424. Its totient is φ = 24284160.

The previous prime is 126636509. The next prime is 126636511. The reversal of 126636510 is 15636621.

It is an interprime number because it is at equal distance from previous prime (126636509) and next prime (126636511).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126636511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27922 + ... + 32138.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2^126636510 is an apocalyptic number.

126636510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126636510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204083712).

126636510 is an abundant number, since it is smaller than the sum of its proper divisors (281530914).

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

126636510 is a wasteful number, since it uses less digits than its factorization.

126636510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 126636510 is about 11253.2888525977. The cubic root of 126636510 is about 502.1725596300.

It can be divided in two parts, 126 and 636510, that added together give a palindrome (636636).

The spelling of 126636510 in words is "one hundred twenty-six million, six hundred thirty-six thousand, five hundred ten".