61608420 has 72 divisors (see below), whose sum is σ = 188750016. Its totient is φ = 16264512.

The previous prime is 61608403. The next prime is 61608427. The reversal of 61608420 is 2480616.

61608420 is a `hidden beast` number, since 616 + 0 + 8 + 42 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61608427) 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, 16879 + ... + 20201.

It is an arithmetic number, because the mean of its divisors is an integer number (2621528).

Almost surely, 2^61608420 is an apocalyptic number.

61608420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61608420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94375008).

61608420 is an abundant number, since it is smaller than the sum of its proper divisors (127141596).

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

61608420 is a wasteful number, since it uses less digits than its factorization.

61608420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61608420 is about 7849.1031334796. The cubic root of 61608420 is about 394.9541580085.

The spelling of 61608420 in words is "sixty-one million, six hundred eight thousand, four hundred twenty".