45267768 has 256 divisors, whose sum is σ = 161280000. Its totient is φ = 11684736.

The previous prime is 45267763. The next prime is 45267769. The reversal of 45267768 is 86776254.

Its product of digits (564480) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45267763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963121 + ... + 963167.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 2^45267768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45267768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

45267768 is an abundant number, since it is smaller than the sum of its proper divisors (116012232).

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

45267768 is a wasteful number, since it uses less digits than its factorization.

45267768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 45267768 is about 6728.1325789553. The cubic root of 45267768 is about 356.3934336556.

The spelling of 45267768 in words is "forty-five million, two hundred sixty-seven thousand, seven hundred sixty-eight".