45982080 has 160 divisors (see below), whose sum is σ = 164395440. Its totient is φ = 12248064.

The previous prime is 45982061. The next prime is 45982091. The reversal of 45982080 is 8028954.

45982080 = T₁₁ + T₁₂ + ... + T₆₅₀.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×45982080² = 4228703362252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51397 + ... + 52283.

Almost surely, 2^45982080 is an apocalyptic number.

45982080 is a gapful number since it is divisible by the number (40) 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 45982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82197720).

45982080 is an abundant number, since it is smaller than the sum of its proper divisors (118413360).

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

45982080 is an equidigital number, since it uses as much as digits as its factorization.

45982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45982080 is about 6781.0087745114. The cubic root of 45982080 is about 358.2582533643.

The spelling of 45982080 in words is "forty-five million, nine hundred eighty-two thousand, eighty".