45936640 has 52 divisors (see below), whose sum is σ = 110283624. Its totient is φ = 18366464.

The previous prime is 45936629. The next prime is 45936643. The reversal of 45936640 is 4663954.

It is a happy number.

It is a super-3 number, since 3×45936640³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 45936640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45936643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19359 + ... + 21601.

Almost surely, 2^45936640 is an apocalyptic number.

45936640 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 45936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55141812).

45936640 is an abundant number, since it is smaller than the sum of its proper divisors (64346984).

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

45936640 is an equidigital number, since it uses as much as digits as its factorization.

45936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 45936640 is about 6777.6574124103. The cubic root of 45936640 is about 358.1402028801.

The spelling of 45936640 in words is "forty-five million, nine hundred thirty-six thousand, six hundred forty".