45367560 has 256 divisors, whose sum is σ = 183513600. Its totient is φ = 9732096.

The previous prime is 45367559. The next prime is 45367561. The reversal of 45367560 is 6576354.

It is an interprime number because it is at equal distance from previous prime (45367559) and next prime (45367561).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45367561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128344 + ... + 128696.

It is an arithmetic number, because the mean of its divisors is an integer number (716850).

Almost surely, 2^45367560 is an apocalyptic number.

45367560 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 45367560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91756800).

45367560 is an abundant number, since it is smaller than the sum of its proper divisors (138146040).

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

45367560 is a wasteful number, since it uses less digits than its factorization.

45367560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45367560 is about 6735.5445214177. The cubic root of 45367560 is about 356.6551291383.

The spelling of 45367560 in words is "forty-five million, three hundred sixty-seven thousand, five hundred sixty".