126238464 has 216 divisors, whose sum is σ = 421857072. Its totient is φ = 35880960.

The previous prime is 126238439. The next prime is 126238471. The reversal of 126238464 is 464832621.

It is a super-2 number, since 2×126238464² = 31872299586158592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430702 + ... + 430994.

It is an arithmetic number, because the mean of its divisors is an integer number (1953042).

Almost surely, 2^126238464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210928536).

126238464 is an abundant number, since it is smaller than the sum of its proper divisors (295618608).

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

126238464 is a wasteful number, since it uses less digits than its factorization.

126238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 126238464 is about 11235.5891701326. The cubic root of 126238464 is about 501.6458616675.

The spelling of 126238464 in words is "one hundred twenty-six million, two hundred thirty-eight thousand, four hundred sixty-four".