61008840 has 96 divisors (see below), whose sum is σ = 199887480. Its totient is φ = 16137216.

The previous prime is 61008839. The next prime is 61008841. The reversal of 61008840 is 4880016.

61008840 is a `hidden beast` number, since 610 + 0 + 8 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (61008839) and next prime (61008841).

It can be written as a sum of positive squares in 4 ways, for example, as 56160036 + 4848804 = 7494^2 + 2202^2 .

It is not an unprimeable number, because it can be changed into a prime (61008841) 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, 48702 + ... + 49938.

Almost surely, 2^61008840 is an apocalyptic number.

61008840 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 61008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99943740).

61008840 is an abundant number, since it is smaller than the sum of its proper divisors (138878640).

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

61008840 is a wasteful number, since it uses less digits than its factorization.

61008840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1384 counting only the distinct ones).

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

The square root of 61008840 is about 7810.8155784143. The cubic root of 61008840 is about 393.6687330393.

Adding to 61008840 its reverse (4880016), we get a palindrome (65888856).

The spelling of 61008840 in words is "sixty-one million, eight thousand, eight hundred forty".