61675040 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 20726784.

The previous prime is 61675013. The next prime is 61675051. The reversal of 61675040 is 4057616.

It is a junction number, because it is equal to n+sod(n) for n = 61674994 and 61675012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58841 + ... + 59879.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^61675040 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 61675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

61675040 is an abundant number, since it is smaller than the sum of its proper divisors (108152800).

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

61675040 is a wasteful number, since it uses less digits than its factorization.

61675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 61675040 is about 7853.3457838045. The cubic root of 61675040 is about 395.0964673857.

The spelling of 61675040 in words is "sixty-one million, six hundred seventy-five thousand, forty".