61121088 has 224 divisors, whose sum is σ = 213278720. Its totient is φ = 16796160.

The previous prime is 61121041. The next prime is 61121101. The reversal of 61121088 is 88012116.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374895 + ... + 375057.

Almost surely, 2^61121088 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 61121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106639360).

61121088 is an abundant number, since it is smaller than the sum of its proper divisors (152157632).

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

61121088 is a wasteful number, since it uses less digits than its factorization.

61121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 61121088 is about 7817.9976976205. The cubic root of 61121088 is about 393.9100175008.

It can be divided in two parts, 6112108 and 8, that added together give a palindrome (6112116).

The spelling of 61121088 in words is "sixty-one million, one hundred twenty-one thousand, eighty-eight".