61835540 has 96 divisors (see below), whose sum is σ = 148176000. Its totient is φ = 21514752.

The previous prime is 61835531. The next prime is 61835551. The reversal of 61835540 is 4553816.

61835540 = T₂₀₄ + T₂₀₅ + ... + T₇₂₃.

It is a happy number.

61835540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61835497 and 61835506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444791 + ... + 444929.

It is an arithmetic number, because the mean of its divisors is an integer number (1543500).

Almost surely, 2^61835540 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 61835540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74088000).

61835540 is an abundant number, since it is smaller than the sum of its proper divisors (86340460).

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

61835540 is a wasteful number, since it uses less digits than its factorization.

61835540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 61835540 is about 7863.5577189972. The cubic root of 61835540 is about 395.4388968613.

The spelling of 61835540 in words is "sixty-one million, eight hundred thirty-five thousand, five hundred forty".