126505610 has 64 divisors (see below), whose sum is σ = 298874880. Its totient is φ = 37350720.

The previous prime is 126505607. The next prime is 126505651. The reversal of 126505610 is 16505621.

It is a super-2 number, since 2×126505610² = 32007338722944200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126505610.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10307 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (4669920).

Almost surely, 2^126505610 is an apocalyptic number.

126505610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126505610 is an abundant number, since it is smaller than the sum of its proper divisors (172369270).

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

126505610 is a wasteful number, since it uses less digits than its factorization.

126505610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8691.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 126505610 is about 11247.4712713570. The cubic root of 126505610 is about 501.9994735528. Note that the first 3 decimals are identical.

The spelling of 126505610 in words is "one hundred twenty-six million, five hundred five thousand, six hundred ten".