8153964 has 144 divisors (see below), whose sum is σ = 26906880. Its totient is φ = 2021760.

The previous prime is 8153953. The next prime is 8153969. The reversal of 8153964 is 4693518.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8153969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62179 + ... + 62309.

Almost surely, 2^8153964 is an apocalyptic number.

8153964 is a gapful number since it is divisible by the number (84) 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 8153964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13453440).

8153964 is an abundant number, since it is smaller than the sum of its proper divisors (18752916).

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

8153964 is a wasteful number, since it uses less digits than its factorization.

8153964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 8153964 is about 2855.5146646445. The cubic root of 8153964 is about 201.2748893513.

It can be divided in two parts, 81 and 53964, that added together give a palindrome (54045).

The spelling of 8153964 in words is "eight million, one hundred fifty-three thousand, nine hundred sixty-four".