45687000 has 128 divisors (see below), whose sum is σ = 144930240. Its totient is φ = 11980800.

The previous prime is 45686981. The next prime is 45687029. The reversal of 45687000 is 78654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 290922 + ... + 291078.

Almost surely, 2^45687000 is an apocalyptic number.

45687000 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 45687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465120).

45687000 is an abundant number, since it is smaller than the sum of its proper divisors (99243240).

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

45687000 is a wasteful number, since it uses less digits than its factorization.

45687000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 45687000 is about 6759.2159308606. The cubic root of 45687000 is about 357.4902600571.

The spelling of 45687000 in words is "forty-five million, six hundred eighty-seven thousand".