61619040 has 144 divisors (see below), whose sum is σ = 240353568. Its totient is φ = 14082048.

The previous prime is 61619017. The next prime is 61619087. The reversal of 61619040 is 4091616.

61619040 is a `hidden beast` number, since 6 + 1 + 619 + 0 + 40 = 666.

61619040 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 (144).

It is a junction number, because it is equal to n+sod(n) for n = 61618995 and 61619013.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7024 + ... + 13136.

It is an arithmetic number, because the mean of its divisors is an integer number (1669122).

Almost surely, 2^61619040 is an apocalyptic number.

61619040 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 61619040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120176784).

61619040 is an abundant number, since it is smaller than the sum of its proper divisors (178734528).

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

61619040 is a wasteful number, since it uses less digits than its factorization.

61619040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61619040 is about 7849.7796147408. The cubic root of 61619040 is about 394.9768506435.

The spelling of 61619040 in words is "sixty-one million, six hundred nineteen thousand, forty".