895288680 has 768 divisors, whose sum is σ = 3861043200. Its totient is φ = 182476800.

The previous prime is 895288661. The next prime is 895288733. The reversal of 895288680 is 86882598.

It is a super-2 number, since 2×895288680² = 1603083641072284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28880265 + ... + 28880295.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2^895288680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

895288680 is an abundant number, since it is smaller than the sum of its proper divisors (2965754520).

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

895288680 is a wasteful number, since it uses less digits than its factorization.

895288680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 895288680 is about 29921.3749684068. The cubic root of 895288680 is about 963.8017217015.

The spelling of 895288680 in words is "eight hundred ninety-five million, two hundred eighty-eight thousand, six hundred eighty".