45542640 has 160 divisors (see below), whose sum is σ = 165989376. Its totient is φ = 10183680.

The previous prime is 45542611. The next prime is 45542641. The reversal of 45542640 is 4624554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45542598 and 45542607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45542641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33657 + ... + 34983.

Almost surely, 2^45542640 is an apocalyptic number.

45542640 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 45542640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994688).

45542640 is an abundant number, since it is smaller than the sum of its proper divisors (120446736).

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

45542640 is a wasteful number, since it uses less digits than its factorization.

45542640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 45542640 is about 6748.5287285452. The cubic root of 45542640 is about 357.1133348549.

The spelling of 45542640 in words is "forty-five million, five hundred forty-two thousand, six hundred forty".