126890764 has 144 divisors (see below), whose sum is σ = 311981824. Its totient is φ = 43908480.

The previous prime is 126890713. The next prime is 126890767. The reversal of 126890764 is 467098621.

It is a super-2 number, since 2×126890764² = 32202531977007392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 126890764.

It is not an unprimeable number, because it can be changed into a prime (126890767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1893859 + ... + 1893925.

Almost surely, 2^126890764 is an apocalyptic number.

126890764 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 126890764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990912).

126890764 is an abundant number, since it is smaller than the sum of its proper divisors (185091060).

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

126890764 is a wasteful number, since it uses less digits than its factorization.

126890764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 126890764 is about 11264.5800631892. The cubic root of 126890764 is about 502.5084133472.

The spelling of 126890764 in words is "one hundred twenty-six million, eight hundred ninety thousand, seven hundred sixty-four".