8461152 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 2415744.

The previous prime is 8461147. The next prime is 8461157. The reversal of 8461152 is 2511648.

It is an interprime number because it is at equal distance from previous prime (8461147) and next prime (8461157).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5349 + ... + 6747.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 2^8461152 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 8461152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

8461152 is an abundant number, since it is smaller than the sum of its proper divisors (19762848).

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

8461152 is a wasteful number, since it uses less digits than its factorization.

8461152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1411 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8461152 is about 2908.8059405880. The cubic root of 8461152 is about 203.7713701599.

The spelling of 8461152 in words is "eight million, four hundred sixty-one thousand, one hundred fifty-two".