45626880 has 160 divisors (see below), whose sum is σ = 157427424. Its totient is φ = 11206656.

The previous prime is 45626879. The next prime is 45626939. The reversal of 45626880 is 8862654.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99612 + ... + 100068.

Almost surely, 2^45626880 is an apocalyptic number.

45626880 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 45626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78713712).

45626880 is an abundant number, since it is smaller than the sum of its proper divisors (111800544).

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

45626880 is a wasteful number, since it uses less digits than its factorization.

45626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 45626880 is about 6754.7672054631. The cubic root of 45626880 is about 357.3333828371. Note that the first 4 decimals are identical.

The spelling of 45626880 in words is "forty-five million, six hundred twenty-six thousand, eight hundred eighty".