61457040 has 120 divisors (see below), whose sum is σ = 218577528. Its totient is φ = 15421440.

The previous prime is 61457029. The next prime is 61457041. The reversal of 61457040 is 4075416.

61457040 is a `hidden beast` number, since 614 + 5 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25887744 + 35569296 = 5088^2 + 5964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 61456995 and 61457013.

It is not an unprimeable number, because it can be changed into a prime (61457041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9730 + ... + 14750.

Almost surely, 2^61457040 is an apocalyptic number.

61457040 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 61457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109288764).

61457040 is an abundant number, since it is smaller than the sum of its proper divisors (157120488).

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

61457040 is a wasteful number, since it uses less digits than its factorization.

61457040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 61457040 is about 7839.4540626245. The cubic root of 61457040 is about 394.6304079079.

The spelling of 61457040 in words is "sixty-one million, four hundred fifty-seven thousand, forty".