61022016 has 84 divisors (see below), whose sum is σ = 190829184. Its totient is φ = 18489600.

The previous prime is 61022009. The next prime is 61022023.

It is a happy number.

61022016 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (61022009) and next prime (61022023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 61022016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1521 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (2271776).

Almost surely, 2^61022016 is an apocalyptic number.

61022016 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 61022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95414592).

61022016 is an abundant number, since it is smaller than the sum of its proper divisors (129807168).

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

61022016 is a wasteful number, since it uses less digits than its factorization.

61022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61022016 is about 7811.6589787317. The cubic root of 61022016 is about 393.6970710412.

It can be divided in two parts, 6102 and 2016, that added together give a palindrome (8118).

The spelling of 61022016 in words is "sixty-one million, twenty-two thousand, sixteen".