126970080 has 96 divisors (see below), whose sum is σ = 404901504. Its totient is φ = 33440256.

The previous prime is 126970073. The next prime is 126970087. The reversal of 126970080 is 80079621.

126970080 = 333² + 334² + ... + 747².

126970080 is a nontrivial binomial coefficient, being equal to C(15936, 2).

It is an interprime number because it is at equal distance from previous prime (126970073) and next prime (126970087).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126970080² = 32242802430412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126970087) 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, 38247 + ... + 41433.

It is an arithmetic number, because the mean of its divisors is an integer number (4217724).

Almost surely, 2^126970080 is an apocalyptic number.

126970080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126970080 is the 15935-th triangular number and also the 7968-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202450752).

126970080 is an abundant number, since it is smaller than the sum of its proper divisors (277931424).

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

126970080 is a wasteful number, since it uses less digits than its factorization.

126970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 126970080 is about 11268.1001060516. The cubic root of 126970080 is about 502.6130930325.

The spelling of 126970080 in words is "one hundred twenty-six million, nine hundred seventy thousand, eighty".