126893046 has 48 divisors (see below), whose sum is σ = 299427840. Its totient is φ = 35738640.

The previous prime is 126893003. The next prime is 126893051. The reversal of 126893046 is 640398621.

It is a super-3 number, since 3×126893046³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 126892995 and 126893013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17835 + ... + 23913.

It is an arithmetic number, because the mean of its divisors is an integer number (6238080).

Almost surely, 2^126893046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126893046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149713920).

126893046 is an abundant number, since it is smaller than the sum of its proper divisors (172534794).

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

126893046 is a wasteful number, since it uses less digits than its factorization.

126893046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 126893046 is about 11264.6813536824. The cubic root of 126893046 is about 502.5114256950.

The spelling of 126893046 in words is "one hundred twenty-six million, eight hundred ninety-three thousand, forty-six".