126904365 has 72 divisors (see below), whose sum is σ = 260002080. Its totient is φ = 57081024.

The previous prime is 126904331. The next prime is 126904367. The reversal of 126904365 is 563409621.

It is a happy number.

It is not a de Polignac number, because 126904365 - 2⁸ = 126904109 is a prime.

It is a super-2 number, since 2×126904365² = 32209435712106450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126904367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147306 + ... + 148164.

It is an arithmetic number, because the mean of its divisors is an integer number (3611140).

Almost surely, 2^126904365 is an apocalyptic number.

126904365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126904365 is an abundant number, since it is smaller than the sum of its proper divisors (133097715).

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

126904365 is a wasteful number, since it uses less digits than its factorization.

126904365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 126904365 is about 11265.1837534947. The cubic root of 126904365 is about 502.5263667757.

The spelling of 126904365 in words is "one hundred twenty-six million, nine hundred four thousand, three hundred sixty-five".