61839960 has 192 divisors, whose sum is σ = 232696800. Its totient is φ = 13031424.

The previous prime is 61839949. The next prime is 61839961. The reversal of 61839960 is 6993816.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61839961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76036 + ... + 76844.

Almost surely, 2^61839960 is an apocalyptic number.

61839960 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 61839960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348400).

61839960 is an abundant number, since it is smaller than the sum of its proper divisors (170856840).

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

61839960 is a wasteful number, since it uses less digits than its factorization.

61839960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 61839960 is about 7863.8387572483. The cubic root of 61839960 is about 395.4483186182.

The spelling of 61839960 in words is "sixty-one million, eight hundred thirty-nine thousand, nine hundred sixty".