126892656 has 280 divisors, whose sum is σ = 429365376. Its totient is φ = 35925120.

The previous prime is 126892643. The next prime is 126892673. The reversal of 126892656 is 656298621.

It is a super-2 number, since 2×126892656² = 32203492293468672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2950971 + ... + 2951013.

Almost surely, 2^126892656 is an apocalyptic number.

126892656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126892656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214682688).

126892656 is an abundant number, since it is smaller than the sum of its proper divisors (302472720).

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

126892656 is a wasteful number, since it uses less digits than its factorization.

126892656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 126892656 is about 11264.6640429264. The cubic root of 126892656 is about 502.5109108791.

The spelling of 126892656 in words is "one hundred twenty-six million, eight hundred ninety-two thousand, six hundred fifty-six".