126764496 has 60 divisors (see below), whose sum is σ = 356011812. Its totient is φ = 42106368.

The previous prime is 126764483. The next prime is 126764503. The reversal of 126764496 is 694467621.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 114062400 = 3564^2 + 10680^2 .

It is a super-2 number, since 2×126764496² = 32138474892268032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44260 + ... + 47036.

Almost surely, 2^126764496 is an apocalyptic number.

126764496 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 126764496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178005906).

126764496 is an abundant number, since it is smaller than the sum of its proper divisors (229247316).

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

126764496 is a wasteful number, since it uses less digits than its factorization.

126764496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3099 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 126764496 is about 11258.9740207534. The cubic root of 126764496 is about 502.3416773075.

It can be divided in two parts, 126764 and 496, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 126764496 in words is "one hundred twenty-six million, seven hundred sixty-four thousand, four hundred ninety-six".