61616100 has 288 divisors, whose sum is σ = 229040896. Its totient is φ = 12441600.

The previous prime is 61616089. The next prime is 61616101. The reversal of 61616100 is 161616.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (61616101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010070 + ... + 1010130.

Almost surely, 2^61616100 is an apocalyptic number.

61616100 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 61616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114520448).

61616100 is an abundant number, since it is smaller than the sum of its proper divisors (167424796).

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

61616100 is a wasteful number, since it uses less digits than its factorization.

61616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 61616100 is about 7849.5923461031. The cubic root of 61616100 is about 394.9705687627.

Adding to 61616100 its reverse (161616), we get a palindrome (61777716).

It can be divided in two parts, 61616 and 100, that added together give a palindrome (61716).

The spelling of 61616100 in words is "sixty-one million, six hundred sixteen thousand, one hundred".