45681000 has 64 divisors (see below), whose sum is σ = 142534080. Its totient is φ = 12180800.

The previous prime is 45680983. The next prime is 45681019. The reversal of 45681000 is 18654.

It is a super-2 number, since 2×45681000² = 4173507522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 4614 + ... + 10613.

It is an arithmetic number, because the mean of its divisors is an integer number (2227095).

Almost surely, 2^45681000 is an apocalyptic number.

45681000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45681000 is an abundant number, since it is smaller than the sum of its proper divisors (96853080).

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

45681000 is a wasteful number, since it uses less digits than its factorization.

45681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15251 (or 15237 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 45681000 is about 6758.7720778260. The cubic root of 45681000 is about 357.4746098322.

Adding to 45681000 its reverse (18654), we get a palindrome (45699654).

The spelling of 45681000 in words is "forty-five million, six hundred eighty-one thousand".