45561120 has 96 divisors (see below), whose sum is σ = 156582720. Its totient is φ = 11043840.

The previous prime is 45561101. The next prime is 45561121. The reversal of 45561120 is 2116554.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45561121) 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, 966 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (1631070).

Almost surely, 2^45561120 is an apocalyptic number.

45561120 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 45561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78291360).

45561120 is an abundant number, since it is smaller than the sum of its proper divisors (111021600).

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

45561120 is a wasteful number, since it uses less digits than its factorization.

45561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 45561120 is about 6749.8977770037. The cubic root of 45561120 is about 357.1616307084.

Adding to 45561120 its reverse (2116554), we get a palindrome (47677674).

It can be divided in two parts, 45 and 561120, that added together give a palindrome (561165).

The spelling of 45561120 in words is "forty-five million, five hundred sixty-one thousand, one hundred twenty".