61016400 has 180 divisors, whose sum is σ = 224424252. Its totient is φ = 15298560.

The previous prime is 61016399. The next prime is 61016407. The reversal of 61016400 is 461016.

Added to its reverse (461016) it gives a triangular number (61477416 = T₁₁₀₈₈).

61016400 is a `hidden beast` number, since 610 + 16 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2585664 + 58430736 = 1608^2 + 7644^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61016407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60702 + ... + 61698.

Almost surely, 2^61016400 is an apocalyptic number.

61016400 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 61016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112212126).

61016400 is an abundant number, since it is smaller than the sum of its proper divisors (163407852).

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

61016400 is a wasteful number, since it uses less digits than its factorization.

61016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1024 counting only the distinct ones).

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

The square root of 61016400 is about 7811.2995077644. The cubic root of 61016400 is about 393.6849930474.

Adding to 61016400 its reverse (461016), we get a palindrome (61477416).

It can be divided in two parts, 61016 and 400, that added together give a palindrome (61416).

The spelling of 61016400 in words is "sixty-one million, sixteen thousand, four hundred".