61484040 has 96 divisors (see below), whose sum is σ = 200954520. Its totient is φ = 16303104.

The previous prime is 61484039. The next prime is 61484063. The reversal of 61484040 is 4048416.

61484040 is a `hidden beast` number, since 614 + 8 + 4 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55980324 + 5503716 = 7482^2 + 2346^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61483995 and 61484013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83514 + ... + 84246.

Almost surely, 2^61484040 is an apocalyptic number.

61484040 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 61484040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100477260).

61484040 is an abundant number, since it is smaller than the sum of its proper divisors (139470480).

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

61484040 is a wasteful number, since it uses less digits than its factorization.

61484040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61484040 is about 7841.1759322183. The cubic root of 61484040 is about 394.6881906074.

The spelling of 61484040 in words is "sixty-one million, four hundred eighty-four thousand, forty".