61693842 has 48 divisors (see below), whose sum is σ = 144329472. Its totient is φ = 17529120.

The previous prime is 61693829. The next prime is 61693847. The reversal of 61693842 is 24839616.

It is a super-2 number, since 2×61693842² = 7612260281441928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61693842.

It is not an unprimeable number, because it can be changed into a prime (61693847) 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, 65092 + ... + 66032.

It is an arithmetic number, because the mean of its divisors is an integer number (3006864).

Almost surely, 2^61693842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61693842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72164736).

61693842 is an abundant number, since it is smaller than the sum of its proper divisors (82635630).

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

61693842 is a wasteful number, since it uses less digits than its factorization.

61693842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 61693842 is about 7854.5427619945. The cubic root of 61693842 is about 395.1366124699.

It can be divided in two parts, 6169 and 3842, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 61693842 in words is "sixty-one million, six hundred ninety-three thousand, eight hundred forty-two".