61559040 has 288 divisors, whose sum is σ = 222518016. Its totient is φ = 14417920.

The previous prime is 61559033. The next prime is 61559089. The reversal of 61559040 is 4095516.

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 = 61558989 and 61559007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501420 + ... + 1501460.

It is an arithmetic number, because the mean of its divisors is an integer number (772632).

Almost surely, 2^61559040 is an apocalyptic number.

61559040 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 61559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111259008).

61559040 is an abundant number, since it is smaller than the sum of its proper divisors (160958976).

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

61559040 is a wasteful number, since it uses less digits than its factorization.

61559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 61559040 is about 7845.9569206057. The cubic root of 61559040 is about 394.8486093987.

The spelling of 61559040 in words is "sixty-one million, five hundred fifty-nine thousand, forty".