1045036080 has 360 divisors, whose sum is σ = 3997650384. Its totient is φ = 251942400.

The previous prime is 1045036049. The next prime is 1045036123. The reversal of 1045036080 is 806305401.

1045036080 = T₆₁₃₇ + T₆₁₃₈ + ... + T₆₁₉₁.

1045036080 is a `hidden beast` number, since 1 + 0 + 4 + 50 + 3 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5773590 + ... + 5773770.

Almost surely, 2^1045036080 is an apocalyptic number.

1045036080 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 1045036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998825192).

1045036080 is an abundant number, since it is smaller than the sum of its proper divisors (2952614304).

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

1045036080 is an equidigital number, since it uses as much as digits as its factorization.

1045036080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1045036080 is about 32327.0178024512. The cubic root of 1045036080 is about 1014.7921403732.

The spelling of 1045036080 in words is "one billion, forty-five million, thirty-six thousand, eighty".