126361620 has 240 divisors, whose sum is σ = 494702208. Its totient is φ = 26231040.

The previous prime is 126361603. The next prime is 126361633. The reversal of 126361620 is 26163621.

126361620 is a `hidden beast` number, since 1 + 2 + 6 + 36 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124234 + ... + 125246.

Almost surely, 2^126361620 is an apocalyptic number.

126361620 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 126361620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247351104).

126361620 is an abundant number, since it is smaller than the sum of its proper divisors (368340588).

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

126361620 is a wasteful number, since it uses less digits than its factorization.

126361620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 126361620 is about 11241.0684545554. The cubic root of 126361620 is about 501.8089409065.

The spelling of 126361620 in words is "one hundred twenty-six million, three hundred sixty-one thousand, six hundred twenty".