45120768 has 216 divisors, whose sum is σ = 153790560. Its totient is φ = 11612160.

The previous prime is 45120749. The next prime is 45120769. The reversal of 45120768 is 86702154.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45120769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413898 + ... + 414006.

Almost surely, 2^45120768 is an apocalyptic number.

45120768 is a gapful number since it is divisible by the number (48) 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 45120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76895280).

45120768 is an abundant number, since it is smaller than the sum of its proper divisors (108669792).

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

45120768 is a wasteful number, since it uses less digits than its factorization.

45120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45120768 is about 6717.1994164235. The cubic root of 45120768 is about 356.0072379962.

The spelling of 45120768 in words is "forty-five million, one hundred twenty thousand, seven hundred sixty-eight".