61415040 has 128 divisors (see below), whose sum is σ = 202694400. Its totient is φ = 15798272.

The previous prime is 61415017. The next prime is 61415063. The reversal of 61415040 is 4051416.

It is an interprime number because it is at equal distance from previous prime (61415017) and next prime (61415063).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 61414998 and 61415016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55129 + ... + 56231.

It is an arithmetic number, because the mean of its divisors is an integer number (1583550).

Almost surely, 2^61415040 is an apocalyptic number.

61415040 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 61415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101347200).

61415040 is an abundant number, since it is smaller than the sum of its proper divisors (141279360).

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

61415040 is a wasteful number, since it uses less digits than its factorization.

61415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61415040 is about 7836.7748468359. The cubic root of 61415040 is about 394.5404900604.

Adding to 61415040 its reverse (4051416), we get a palindrome (65466456).

The spelling of 61415040 in words is "sixty-one million, four hundred fifteen thousand, forty".