61261632 has 42 divisors (see below), whose sum is σ = 175597058. Its totient is φ = 20420352.

The previous prime is 61261631. The next prime is 61261649. The reversal of 61261632 is 23616216.

61261632 is a `hidden beast` number, since 6 + 1 + 26 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 46656 = 7824^2 + 216^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61261596 and 61261605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52603 + ... + 53754.

Almost surely, 2^61261632 is an apocalyptic number.

It is an amenable number.

61261632 is an abundant number, since it is smaller than the sum of its proper divisors (114335426).

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

61261632 is a wasteful number, since it uses less digits than its factorization.

61261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106375 (or 106362 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 61261632 is about 7826.9810271905. The cubic root of 61261632 is about 394.2117099384.

Adding to 61261632 its reverse (23616216), we get a palindrome (84877848).

The spelling of 61261632 in words is "sixty-one million, two hundred sixty-one thousand, six hundred thirty-two".