61097040 has 60 divisors (see below), whose sum is σ = 205186644. Its totient is φ = 16292352.

The previous prime is 61096999. The next prime is 61097041. The reversal of 61097040 is 4079016.

61097040 is a `hidden beast` number, since 610 + 9 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20034576 + 41062464 = 4476^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 61096995 and 61097013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61097041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41709 + ... + 43148.

Almost surely, 2^61097040 is an apocalyptic number.

61097040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61097040 is an abundant number, since it is smaller than the sum of its proper divisors (144089604).

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

61097040 is a wasteful number, since it uses less digits than its factorization.

61097040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84876 (or 84867 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61097040 is about 7816.4595566023. The cubic root of 61097040 is about 393.8583496230.

The spelling of 61097040 in words is "sixty-one million, ninety-seven thousand, forty".