126886032 has 240 divisors, whose sum is σ = 457137408. Its totient is φ = 31933440.

The previous prime is 126885973. The next prime is 126886033. The reversal of 126886032 is 230688621.

It is a super-2 number, since 2×126886032² = 32200130233410048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126886033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301182 + ... + 301602.

Almost surely, 2^126886032 is an apocalyptic number.

126886032 is a gapful number since it is divisible by the number (12) 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 126886032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228568704).

126886032 is an abundant number, since it is smaller than the sum of its proper divisors (330251376).

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

126886032 is a wasteful number, since it uses less digits than its factorization.

126886032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126886032 is about 11264.3700223315. The cubic root of 126886032 is about 502.5021667687.

The spelling of 126886032 in words is "one hundred twenty-six million, eight hundred eighty-six thousand, thirty-two".