61642080 has 192 divisors, whose sum is σ = 227404800. Its totient is φ = 15552000.

The previous prime is 61642069. The next prime is 61642103. The reversal of 61642080 is 8024616.

61642080 is a `hidden beast` number, since 616 + 42 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81705 + ... + 82455.

It is an arithmetic number, because the mean of its divisors is an integer number (1184400).

Almost surely, 2^61642080 is an apocalyptic number.

61642080 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 61642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

61642080 is an abundant number, since it is smaller than the sum of its proper divisors (165762720).

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

61642080 is a wasteful number, since it uses less digits than its factorization.

61642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 780 counting only the distinct ones).

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

The square root of 61642080 is about 7851.2470347073. The cubic root of 61642080 is about 395.0260731601.

Adding to 61642080 its reverse (8024616), we get a palindrome (69666696).

The spelling of 61642080 in words is "sixty-one million, six hundred forty-two thousand, eighty".