126362820 has 96 divisors (see below), whose sum is σ = 374363136. Its totient is φ = 31795200.

The previous prime is 126362809. The next prime is 126362839. The reversal of 126362820 is 28263621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75432 + ... + 77088.

It is an arithmetic number, because the mean of its divisors is an integer number (3899616).

Almost surely, 2^126362820 is an apocalyptic number.

126362820 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 126362820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187181568).

126362820 is an abundant number, since it is smaller than the sum of its proper divisors (248000316).

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

126362820 is a wasteful number, since it uses less digits than its factorization.

126362820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 126362820 is about 11241.1218301378. The cubic root of 126362820 is about 501.8105293868.

The spelling of 126362820 in words is "one hundred twenty-six million, three hundred sixty-two thousand, eight hundred twenty".