61827642 has 48 divisors (see below), whose sum is σ = 137050368. Its totient is φ = 20139840.

The previous prime is 61827599. The next prime is 61827643. The reversal of 61827642 is 24672816.

61827642 is a `hidden beast` number, since 6 + 1 + 8 + 2 + 7 + 642 = 666.

Its product of digits (32256) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 61827597 and 61827606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61827643) 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, 277143 + ... + 277365.

It is an arithmetic number, because the mean of its divisors is an integer number (2855216).

Almost surely, 2^61827642 is an apocalyptic number.

61827642 is an abundant number, since it is smaller than the sum of its proper divisors (75222726).

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

61827642 is a wasteful number, since it uses less digits than its factorization.

61827642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 61827642 is about 7863.0555129670. The cubic root of 61827642 is about 395.4220602148.

It can be divided in two parts, 6182 and 7642, that added together give a cube (13824 = 24³).

The spelling of 61827642 in words is "sixty-one million, eight hundred twenty-seven thousand, six hundred forty-two".