45662320 has 80 divisors (see below), whose sum is σ = 121956480. Its totient is φ = 15724800.

The previous prime is 45662317. The next prime is 45662321. The reversal of 45662320 is 2326654.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45662321) 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, 15355 + ... + 18085.

It is an arithmetic number, because the mean of its divisors is an integer number (1524456).

Almost surely, 2^45662320 is an apocalyptic number.

45662320 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 45662320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60978240).

45662320 is an abundant number, since it is smaller than the sum of its proper divisors (76294160).

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

45662320 is a wasteful number, since it uses less digits than its factorization.

45662320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 45662320 is about 6757.3900287019. The cubic root of 45662320 is about 357.4258766891.

Adding to 45662320 its reverse (2326654), we get a palindrome (47988974).

It can be divided in two parts, 4566 and 2320, that added together give a palindrome (6886).

The spelling of 45662320 in words is "forty-five million, six hundred sixty-two thousand, three hundred twenty".