61261816 has 48 divisors (see below), whose sum is σ = 144310320. Its totient is φ = 23865600.

The previous prime is 61261813. The next prime is 61261841. The reversal of 61261816 is 61816216.

61261816 = T₁₀₁ + T₁₀₂ + ... + T₇₁₆.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2256 + ... + 11296.

It is an arithmetic number, because the mean of its divisors is an integer number (3006465).

Almost surely, 2^61261816 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 61261816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72155160).

61261816 is an abundant number, since it is smaller than the sum of its proper divisors (83048504).

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

61261816 is a wasteful number, since it uses less digits than its factorization.

61261816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9061 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 61261816 is about 7826.9927813944. The cubic root of 61261816 is about 394.2121046111.

The spelling of 61261816 in words is "sixty-one million, two hundred sixty-one thousand, eight hundred sixteen".