61506432 has 192 divisors, whose sum is σ = 200919600. Its totient is φ = 18413568.

The previous prime is 61506421. The next prime is 61506433. The reversal of 61506432 is 23460516.

61506432 is a `hidden beast` number, since 6 + 15 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 61506396 and 61506405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1662318 + ... + 1662354.

Almost surely, 2^61506432 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 61506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100459800).

61506432 is an abundant number, since it is smaller than the sum of its proper divisors (139413168).

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

61506432 is a wasteful number, since it uses less digits than its factorization.

61506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

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

The square root of 61506432 is about 7842.6036492991. The cubic root of 61506432 is about 394.7360988954.

Adding to 61506432 its reverse (23460516), we get a palindrome (84966948).

The spelling of 61506432 in words is "sixty-one million, five hundred six thousand, four hundred thirty-two".