61424640 has 264 divisors, whose sum is σ = 224809728. Its totient is φ = 15482880.

The previous prime is 61424617. The next prime is 61424647. The reversal of 61424640 is 4642416.

61424640 is a `hidden beast` number, since 6 + 14 + 2 + 4 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (61424647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1428459 + ... + 1428501.

It is an arithmetic number, because the mean of its divisors is an integer number (851552).

Almost surely, 2^61424640 is an apocalyptic number.

61424640 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 61424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112404864).

61424640 is an abundant number, since it is smaller than the sum of its proper divisors (163385088).

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

61424640 is a wasteful number, since it uses less digits than its factorization.

61424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 61424640 is about 7837.3873197642. The cubic root of 61424640 is about 394.5610463246.

The spelling of 61424640 in words is "sixty-one million, four hundred twenty-four thousand, six hundred forty".