895527360 has 896 divisors, whose sum is σ = 4178442240. Its totient is φ = 175177728.

The previous prime is 895527329. The next prime is 895527389. The reversal of 895527360 is 63725598.

It is a happy number.

895527360 is a `hidden beast` number, since 8 + 95 + 527 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13366047 + ... + 13366113.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 2^895527360 is an apocalyptic number.

895527360 is a gapful number since it is divisible by the number (80) 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 895527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089221120).

895527360 is an abundant number, since it is smaller than the sum of its proper divisors (3282914880).

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

895527360 is a wasteful number, since it uses less digits than its factorization.

895527360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 895527360 is about 29925.3631556912. The cubic root of 895527360 is about 963.8873625160.

It can be divided in two parts, 8955 and 27360, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 895527360 in words is "eight hundred ninety-five million, five hundred twenty-seven thousand, three hundred sixty".