126416820 has 48 divisors (see below), whose sum is σ = 354993408. Its totient is φ = 33613440.

The previous prime is 126416723. The next prime is 126416821. The reversal of 126416820 is 28614621.

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 (126416821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19150 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (7395696).

Almost surely, 2^126416820 is an apocalyptic number.

126416820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126416820 is an abundant number, since it is smaller than the sum of its proper divisors (228576588).

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

126416820 is a wasteful number, since it uses less digits than its factorization.

126416820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 126416820 is about 11243.5234690910. The cubic root of 126416820 is about 501.8820005930.

The spelling of 126416820 in words is "one hundred twenty-six million, four hundred sixteen thousand, eight hundred twenty".