895723920 has 800 divisors, whose sum is σ = 4033075200. Its totient is φ = 182891520.

The previous prime is 895723919. The next prime is 895723963. The reversal of 895723920 is 29327598.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28894305 + ... + 28894335.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2^895723920 is an apocalyptic number.

895723920 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 895723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016537600).

895723920 is an abundant number, since it is smaller than the sum of its proper divisors (3137351280).

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

895723920 is a wasteful number, since it uses less digits than its factorization.

895723920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 895723920 is about 29928.6471461708. The cubic root of 895723920 is about 963.9578788205.

The spelling of 895723920 in words is "eight hundred ninety-five million, seven hundred twenty-three thousand, nine hundred twenty".