1220825088 has 416 divisors, whose sum is σ = 4403481600. Its totient is φ = 326467584.

The previous prime is 1220825071. The next prime is 1220825117. The reversal of 1220825088 is 8805280221.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14708695 + ... + 14708777.

Almost surely, 2^1220825088 is an apocalyptic number.

1220825088 is a gapful number since it is divisible by the number (18) 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 1220825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201740800).

1220825088 is an abundant number, since it is smaller than the sum of its proper divisors (3182656512).

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

1220825088 is an equidigital number, since it uses as much as digits as its factorization.

1220825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1220825088 is about 34940.3074972159. The cubic root of 1220825088 is about 1068.7705586689.

The spelling of 1220825088 in words is "one billion, two hundred twenty million, eight hundred twenty-five thousand, eighty-eight".