126400608 has 48 divisors (see below), whose sum is σ = 368670960. Its totient is φ = 42133248.

The previous prime is 126400579. The next prime is 126400643. The reversal of 126400608 is 806004621.

126400608 is a `hidden beast` number, since 12 + 6 + 40 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×126400608² = 31954227405539328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72285 + ... + 74012.

It is an arithmetic number, because the mean of its divisors is an integer number (7680645).

Almost surely, 2^126400608 is an apocalyptic number.

126400608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126400608 is an abundant number, since it is smaller than the sum of its proper divisors (242270352).

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

126400608 is a wasteful number, since it uses less digits than its factorization.

126400608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146316 (or 146302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126400608 is about 11242.8024975982. The cubic root of 126400608 is about 501.8605454870.

The spelling of 126400608 in words is "one hundred twenty-six million, four hundred thousand, six hundred eight".