45642000 has 80 divisors (see below), whose sum is σ = 147169152. Its totient is φ = 12169600.

The previous prime is 45641993. The next prime is 45642007. The reversal of 45642000 is 24654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45641993) and next prime (45642007).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45642007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2197 + ... + 9803.

Almost surely, 2^45642000 is an apocalyptic number.

45642000 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 45642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584576).

45642000 is an abundant number, since it is smaller than the sum of its proper divisors (101527152).

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

45642000 is a wasteful number, since it uses less digits than its factorization.

45642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45642000 is about 6755.8863223118. The cubic root of 45642000 is about 357.3728499527.

Adding to 45642000 its reverse (24654), we get a palindrome (45666654).

The spelling of 45642000 in words is "forty-five million, six hundred forty-two thousand".