45620080 has 80 divisors (see below), whose sum is σ = 118278144. Its totient is φ = 16221440.

The previous prime is 45620059. The next prime is 45620087. The reversal of 45620080 is 8002654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45620087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40809 + ... + 41911.

Almost surely, 2^45620080 is an apocalyptic number.

45620080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45620080 is the 5515-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59139072).

45620080 is an abundant number, since it is smaller than the sum of its proper divisors (72658064).

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

45620080 is a wasteful number, since it uses less digits than its factorization.

45620080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45620080 is about 6754.2638384949. The cubic root of 45620080 is about 357.3156302336.

The spelling of 45620080 in words is "forty-five million, six hundred twenty thousand, eighty".