126788976 has 150 divisors (see below), whose sum is σ = 388723632. Its totient is φ = 39890880.

The previous prime is 126788971. The next prime is 126789023. The reversal of 126788976 is 679887621.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126788971) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467721 + ... + 467991.

Almost surely, 2^126788976 is an apocalyptic number.

126788976 is a gapful number since it is divisible by the number (16) 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 126788976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194361816).

126788976 is an abundant number, since it is smaller than the sum of its proper divisors (261934656).

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

126788976 is a wasteful number, since it uses less digits than its factorization.

126788976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 295 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 126788976 is about 11260.0611010776. The cubic root of 126788976 is about 502.3740116312.

The spelling of 126788976 in words is "one hundred twenty-six million, seven hundred eighty-eight thousand, nine hundred seventy-six".