45361680 has 320 divisors, whose sum is σ = 181321728. Its totient is φ = 9123840.

The previous prime is 45361669. The next prime is 45361691. The reversal of 45361680 is 8616354.

45361680 = T₁₅₅ + T₁₅₆ + ... + T₆₅₀.

It is an interprime number because it is at equal distance from previous prime (45361669) and next prime (45361691).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677007 + ... + 677073.

Almost surely, 2^45361680 is an apocalyptic number.

45361680 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 45361680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90660864).

45361680 is an abundant number, since it is smaller than the sum of its proper divisors (135960048).

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

45361680 is a wasteful number, since it uses less digits than its factorization.

45361680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45361680 is about 6735.1080169512. The cubic root of 45361680 is about 356.6397200166.

It can be divided in two parts, 4536 and 1680, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 45361680 in words is "forty-five million, three hundred sixty-one thousand, six hundred eighty".