61098240 has 144 divisors (see below), whose sum is σ = 223106688. Its totient is φ = 13959168.

The previous prime is 61098229. The next prime is 61098253. The reversal of 61098240 is 4289016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61098198 and 61098207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25744 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (1549352).

Almost surely, 2^61098240 is an apocalyptic number.

61098240 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 61098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111553344).

61098240 is an abundant number, since it is smaller than the sum of its proper divisors (162008448).

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

61098240 is a wasteful number, since it uses less digits than its factorization.

61098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 61098240 is about 7816.5363173211. The cubic root of 61098240 is about 393.8609281817.

The spelling of 61098240 in words is "sixty-one million, ninety-eight thousand, two hundred forty".