61793040 has 80 divisors (see below), whose sum is σ = 194237568. Its totient is φ = 16247808.

The previous prime is 61793009. The next prime is 61793051. The reversal of 61793040 is 4039716.

It is a happy number.

61793040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61792989 and 61793007.

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 15 ways as a sum of consecutive naturals, for example, 15757 + ... + 19283.

Almost surely, 2^61793040 is an apocalyptic number.

61793040 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 61793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97118784).

61793040 is an abundant number, since it is smaller than the sum of its proper divisors (132444528).

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

61793040 is a wasteful number, since it uses less digits than its factorization.

61793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 61793040 is about 7860.8549153384. The cubic root of 61793040 is about 395.3482801226.

The spelling of 61793040 in words is "sixty-one million, seven hundred ninety-three thousand, forty".