126948864 has 80 divisors (see below), whose sum is σ = 386546688. Its totient is φ = 36268032.

The previous prime is 126948859. The next prime is 126948883. The reversal of 126948864 is 468849621.

It is a super-2 number, since 2×126948864² = 32232028141780992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4849 + ... + 16655.

Almost surely, 2^126948864 is an apocalyptic number.

126948864 is a gapful number since it is divisible by the number (14) 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 126948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193273344).

126948864 is an abundant number, since it is smaller than the sum of its proper divisors (259597824).

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

126948864 is an equidigital number, since it uses as much as digits as its factorization.

126948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11819 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 126948864 is about 11267.1586480354. The cubic root of 126948864 is about 502.5850968479.

The spelling of 126948864 in words is "one hundred twenty-six million, nine hundred forty-eight thousand, eight hundred sixty-four".