61411416 has 64 divisors (see below), whose sum is σ = 172039680. Its totient is φ = 18103680.

The previous prime is 61411409. The next prime is 61411433.

61411416 = T₅₁ + T₅₂ + ... + T₇₁₆.

61411416 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6625 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (2688120).

Almost surely, 2^61411416 is an apocalyptic number.

61411416 is a gapful number since it is divisible by the number (66) 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 61411416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86019840).

61411416 is an abundant number, since it is smaller than the sum of its proper divisors (110628264).

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

61411416 is a wasteful number, since it uses less digits than its factorization.

61411416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6344 (or 6340 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 61411416 is about 7836.5436258596. The cubic root of 61411416 is about 394.5327295136.

It can be divided in two parts, 6141 and 1416, that added together give a palindrome (7557).

The spelling of 61411416 in words is "sixty-one million, four hundred eleven thousand, four hundred sixteen".