61088040 has 256 divisors, whose sum is σ = 231840000. Its totient is φ = 14183424.

The previous prime is 61088039. The next prime is 61088047. The reversal of 61088040 is 4088016.

61088040 is a `hidden beast` number, since 610 + 8 + 8 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61087995 and 61088013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61088047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266646 + ... + 266874.

It is an arithmetic number, because the mean of its divisors is an integer number (905625).

Almost surely, 2^61088040 is an apocalyptic number.

61088040 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 61088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920000).

61088040 is an abundant number, since it is smaller than the sum of its proper divisors (170751960).

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

61088040 is a wasteful number, since it uses less digits than its factorization.

61088040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 61088040 is about 7815.8838271817. The cubic root of 61088040 is about 393.8390093559.

The spelling of 61088040 in words is "sixty-one million, eighty-eight thousand, forty".