126949680 has 400 divisors, whose sum is σ = 521779104. Its totient is φ = 28200960.

The previous prime is 126949661. The next prime is 126949709. The reversal of 126949680 is 86949621.

It is a happy number.

It is a super-2 number, since 2×126949680² = 32232442504204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926572 + ... + 926708.

Almost surely, 2^126949680 is an apocalyptic number.

126949680 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 126949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260889552).

126949680 is an abundant number, since it is smaller than the sum of its proper divisors (394829424).

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

126949680 is a wasteful number, since it uses less digits than its factorization.

126949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 126949680 is about 11267.1948594138. The cubic root of 126949680 is about 502.5861736819.

The spelling of 126949680 in words is "one hundred twenty-six million, nine hundred forty-nine thousand, six hundred eighty".