61283844 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 18547200.

The previous prime is 61283839. The next prime is 61283857. The reversal of 61283844 is 44838216.

61283844 is a `hidden beast` number, since 612 + 8 + 38 + 4 + 4 = 666.

It is a super-3 number, since 3×61283844³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61283799 and 61283808.

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, 52669 + ... + 53819.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^61283844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61283844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

61283844 is an abundant number, since it is smaller than the sum of its proper divisors (112898556).

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

61283844 is a wasteful number, since it uses less digits than its factorization.

61283844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 61283844 is about 7828.3998364928. The cubic root of 61283844 is about 394.2593480884.

The spelling of 61283844 in words is "sixty-one million, two hundred eighty-three thousand, eight hundred forty-four".