45788736 has 168 divisors, whose sum is σ = 146401536. Its totient is φ = 12579840.

The previous prime is 45788731. The next prime is 45788741. The reversal of 45788736 is 63788754.

It is an interprime number because it is at equal distance from previous prime (45788731) and next prime (45788741).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45788731) 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, 291570 + ... + 291726.

Almost surely, 2^45788736 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 45788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73200768).

45788736 is an abundant number, since it is smaller than the sum of its proper divisors (100612800).

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

45788736 is a wasteful number, since it uses less digits than its factorization.

45788736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 45788736 is about 6766.7374708939. The cubic root of 45788736 is about 357.7554169320.

The spelling of 45788736 in words is "forty-five million, seven hundred eighty-eight thousand, seven hundred thirty-six".