6461532 has 180 divisors, whose sum is σ = 22015224. Its totient is φ = 1632960.

The previous prime is 6461531. The next prime is 6461537. The reversal of 6461532 is 2351646.

6461532 is a `hidden beast` number, since 646 + 15 + 3 + 2 = 666.

It is a super-3 number, since 3×6461532³ (a number of 21 digits) contains 333 as substring.

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

Its product of digits (4320) is a multiple of the sum of its prime divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 6461496 and 6461505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461531) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174618 + ... + 174654.

Almost surely, 2^6461532 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 6461532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007612).

6461532 is an abundant number, since it is smaller than the sum of its proper divisors (15553692).

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

6461532 is a wasteful number, since it uses less digits than its factorization.

6461532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 6461532 is about 2541.9543662308. The cubic root of 6461532 is about 186.2566695808.

The spelling of 6461532 in words is "six million, four hundred sixty-one thousand, five hundred thirty-two".