45360640 has 160 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 15826944.

The previous prime is 45360613. The next prime is 45360649. The reversal of 45360640 is 4606354.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×45360640² = 4115175322419200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45360599 and 45360608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45360649) 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, 965097 + ... + 965143.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 2^45360640 is an apocalyptic number.

45360640 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 45360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

45360640 is an abundant number, since it is smaller than the sum of its proper divisors (78381440).

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

45360640 is a wasteful number, since it uses less digits than its factorization.

45360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

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

The square root of 45360640 is about 6735.0308091352. The cubic root of 45360640 is about 356.6369944551.

Adding to 45360640 its reverse (4606354), we get a palindrome (49966994).

The spelling of 45360640 in words is "forty-five million, three hundred sixty thousand, six hundred forty".