1098561420 has 576 divisors, whose sum is σ = 4247147520. Its totient is φ = 234178560.

The previous prime is 1098561419. The next prime is 1098561449. The reversal of 1098561420 is 241658901.

1098561420 is a `hidden beast` number, since 1 + 0 + 98 + 561 + 4 + 2 + 0 = 666.

1098561420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25547919 + ... + 25547961.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2^1098561420 is an apocalyptic number.

1098561420 is a gapful number since it is divisible by the number (10) 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 1098561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123573760).

1098561420 is an abundant number, since it is smaller than the sum of its proper divisors (3148586100).

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

1098561420 is a wasteful number, since it uses less digits than its factorization.

1098561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1098561420 is about 33144.5533987109. The cubic root of 1098561420 is about 1031.8299138297.

The spelling of 1098561420 in words is "one billion, ninety-eight million, five hundred sixty-one thousand, four hundred twenty".