895149360 has 320 divisors, whose sum is σ = 3576437760. Its totient is φ = 201553920.

The previous prime is 895149349. The next prime is 895149371. The reversal of 895149360 is 63941598.

It is a happy number.

895149360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (895149349) and next prime (895149371).

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 63 ways as a sum of consecutive naturals, for example, 1103355 + ... + 1104165.

It is an arithmetic number, because the mean of its divisors is an integer number (11176368).

Almost surely, 2^895149360 is an apocalyptic number.

895149360 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 895149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788218880).

895149360 is an abundant number, since it is smaller than the sum of its proper divisors (2681288400).

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

895149360 is a wasteful number, since it uses less digits than its factorization.

895149360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 895149360 is about 29919.0467762594. The cubic root of 895149360 is about 963.7517252312.

It can be divided in two parts, 8951 and 49360, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 895149360 in words is "eight hundred ninety-five million, one hundred forty-nine thousand, three hundred sixty".