126846240 has 48 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 33825536.

The previous prime is 126846217. The next prime is 126846263. The reversal of 126846240 is 42648621.

It is an interprime number because it is at equal distance from previous prime (126846217) and next prime (126846263).

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131652 + ... + 132611.

It is an arithmetic number, because the mean of its divisors is an integer number (8324316).

Almost surely, 2^126846240 is an apocalyptic number.

126846240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126846240 is an abundant number, since it is smaller than the sum of its proper divisors (272720928).

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

126846240 is a wasteful number, since it uses less digits than its factorization.

126846240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264281 (or 264273 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 126846240 is about 11262.6036066267. The cubic root of 126846240 is about 502.4496323368.

The spelling of 126846240 in words is "one hundred twenty-six million, eight hundred forty-six thousand, two hundred forty".