126584640 has 672 divisors, whose sum is σ = 583752960. Its totient is φ = 25546752.

The previous prime is 126584603. The next prime is 126584651. The reversal of 126584640 is 46485621.

126584640 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 126584595 and 126584604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503669 + ... + 5503691.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 2^126584640 is an apocalyptic number.

126584640 is a gapful number since it is divisible by the number (10) 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 126584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

126584640 is an abundant number, since it is smaller than the sum of its proper divisors (457168320).

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

126584640 is a wasteful number, since it uses less digits than its factorization.

126584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 126584640 is about 11250.9839569702. The cubic root of 126584640 is about 502.1039873890.

It can be divided in two parts, 1265 and 84640, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 126584640 in words is "one hundred twenty-six million, five hundred eighty-four thousand, six hundred forty".