45068000 has 96 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 17049600.

The previous prime is 45067963. The next prime is 45068029. The reversal of 45068000 is 86054.

It is a super-2 number, since 2×45068000² = 4062249248000000, 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 15 ways as a sum of consecutive naturals, for example, 75704 + ... + 76296.

It is an arithmetic number, because the mean of its divisors is an integer number (1216215).

Almost surely, 2^45068000 is an apocalyptic number.

45068000 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 45068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378320).

45068000 is an abundant number, since it is smaller than the sum of its proper divisors (71688640).

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

45068000 is a wasteful number, since it uses less digits than its factorization.

45068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 45068000 is about 6713.2704399570. The cubic root of 45068000 is about 355.8684023132.

The spelling of 45068000 in words is "forty-five million, sixty-eight thousand".