1026707136 has 112 divisors (see below), whose sum is σ = 3343436544. Its totient is φ = 270775296.

The previous prime is 1026707093. The next prime is 1026707137. The reversal of 1026707136 is 6317076201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×1026707136⁴ (a number of 37 digits) contains 4444 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 = 1026707097 and 1026707106.

It is not an unprimeable number, because it can be changed into a prime (1026707137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11910 + ... + 46853.

It is an arithmetic number, because the mean of its divisors is an integer number (29852112).

Almost surely, 2^1026707136 is an apocalyptic number.

1026707136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1026707136 is an abundant number, since it is smaller than the sum of its proper divisors (2316729408).

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

1026707136 is a wasteful number, since it uses less digits than its factorization.

1026707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58798 (or 58788 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1026707136 is about 32042.2710805586. The cubic root of 1026707136 is about 1008.8242816767.

The spelling of 1026707136 in words is "one billion, twenty-six million, seven hundred seven thousand, one hundred thirty-six".