1220431680 has 336 divisors, whose sum is σ = 4648132944. Its totient is φ = 291962880.

The previous prime is 1220431651. The next prime is 1220431699. The reversal of 1220431680 is 861340221.

1220431680 is a `hidden beast` number, since 1 + 220 + 431 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55711296 + 1164720384 = 7464^2 + 34128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384840 + ... + 1385720.

It is an arithmetic number, because the mean of its divisors is an integer number (13833729).

Almost surely, 2^1220431680 is an apocalyptic number.

1220431680 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 1220431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324066472).

1220431680 is an abundant number, since it is smaller than the sum of its proper divisors (3427701264).

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

1220431680 is a wasteful number, since it uses less digits than its factorization.

1220431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1220431680 is about 34934.6773278357. The cubic root of 1220431680 is about 1068.6557434059.

The spelling of 1220431680 in words is "one billion, two hundred twenty million, four hundred thirty-one thousand, six hundred eighty".