1611420480 has 672 divisors, whose sum is σ = 6470440704. Its totient is φ = 379551744.

The previous prime is 1611420479. The next prime is 1611420487. The reversal of 1611420480 is 840241161.

It is a happy number.

1611420480 is a `hidden beast` number, since 1 + 611 + 4 + 2 + 0 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611420487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30404134 + ... + 30404186.

It is an arithmetic number, because the mean of its divisors is an integer number (9628632).

Almost surely, 2^1611420480 is an apocalyptic number.

1611420480 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 1611420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235220352).

1611420480 is an abundant number, since it is smaller than the sum of its proper divisors (4859020224).

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

1611420480 is a wasteful number, since it uses less digits than its factorization.

1611420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1611420480 is about 40142.5021641651. The cubic root of 1611420480 is about 1172.3833075508.

The spelling of 1611420480 in words is "one billion, six hundred eleven million, four hundred twenty thousand, four hundred eighty".