45562080 has 96 divisors (see below), whose sum is σ = 149796864. Its totient is φ = 11618816.

The previous prime is 45562079. The next prime is 45562081. The reversal of 45562080 is 8026554.

45562080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45562079) and next prime (45562081).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45562081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8977 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 2^45562080 is an apocalyptic number.

45562080 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 45562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74898432).

45562080 is an abundant number, since it is smaller than the sum of its proper divisors (104234784).

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

45562080 is a wasteful number, since it uses less digits than its factorization.

45562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45562080 is about 6749.9688888172. The cubic root of 45562080 is about 357.1641392270.

The spelling of 45562080 in words is "forty-five million, five hundred sixty-two thousand, eighty".