1036126080 has 640 divisors, whose sum is σ = 4265395200. Its totient is φ = 237219840.

The previous prime is 1036126079. The next prime is 1036126099. The reversal of 1036126080 is 806216301.

1036126080 is a `hidden beast` number, since 10 + 36 + 12 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×1036126080³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13115481 + ... + 13115559.

It is an arithmetic number, because the mean of its divisors is an integer number (6664680).

Almost surely, 2^1036126080 is an apocalyptic number.

1036126080 is a gapful number since it is divisible by the number (10) 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 1036126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132697600).

1036126080 is an abundant number, since it is smaller than the sum of its proper divisors (3229269120).

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

1036126080 is a wasteful number, since it uses less digits than its factorization.

1036126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1036126080 is about 32188.9123767797. The cubic root of 1036126080 is about 1011.8998583386.

The spelling of 1036126080 in words is "one billion, thirty-six million, one hundred twenty-six thousand, eighty".