61538416 has 80 divisors (see below), whose sum is σ = 132134400. Its totient is φ = 27661824.

The previous prime is 61538413. The next prime is 61538431. The reversal of 61538416 is 61483516.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61538413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842956 + ... + 843028.

It is an arithmetic number, because the mean of its divisors is an integer number (1651680).

Almost surely, 2^61538416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61538416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067200).

61538416 is an abundant number, since it is smaller than the sum of its proper divisors (70595984).

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

61538416 is a wasteful number, since it uses less digits than its factorization.

61538416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 61538416 is about 7844.6425030080. The cubic root of 61538416 is about 394.8045093646.

The spelling of 61538416 in words is "sixty-one million, five hundred thirty-eight thousand, four hundred sixteen".