126622080 has 384 divisors, whose sum is σ = 501228000. Its totient is φ = 29196288.

The previous prime is 126622079. The next prime is 126622081. The reversal of 126622080 is 80226621.

It is an interprime number because it is at equal distance from previous prime (126622079) and next prime (126622081).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×126622080² = 32066302287052800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126622081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422676 + ... + 1422764.

Almost surely, 2^126622080 is an apocalyptic number.

126622080 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 126622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250614000).

126622080 is an abundant number, since it is smaller than the sum of its proper divisors (374605920).

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

126622080 is a wasteful number, since it uses less digits than its factorization.

126622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126622080 is about 11252.6476884332. The cubic root of 126622080 is about 502.1534850221.

The spelling of 126622080 in words is "one hundred twenty-six million, six hundred twenty-two thousand, eighty".