895153680 has 140 divisors (see below), whose sum is σ = 3120624300. Its totient is φ = 238692096.

The previous prime is 895153663. The next prime is 895153703. The reversal of 895153680 is 86351598.

895153680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 309900816 + 585252864 = 17604^2 + 24192^2 .

It is a super-2 number, since 2×895153680² = 1602600221635084800, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 50646 + ... + 65994.

Almost surely, 2^895153680 is an apocalyptic number.

895153680 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 895153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560312150).

895153680 is an abundant number, since it is smaller than the sum of its proper divisors (2225470620).

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

895153680 is a wasteful number, since it uses less digits than its factorization.

895153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 895153680 is about 29919.1189709858. The cubic root of 895153680 is about 963.7532755873.

The spelling of 895153680 in words is "eight hundred ninety-five million, one hundred fifty-three thousand, six hundred eighty".