1662534720 has 1120 divisors, whose sum is σ = 7966252800. Its totient is φ = 325140480.

The previous prime is 1662534719. The next prime is 1662534721. The reversal of 1662534720 is 274352661.

1662534720 is a `hidden beast` number, since 1 + 6 + 625 + 3 + 4 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1662534719) and next prime (1662534721).

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662534721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 97796152 + ... + 97796168.

Almost surely, 2^1662534720 is an apocalyptic number.

1662534720 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 1662534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983126400).

1662534720 is an abundant number, since it is smaller than the sum of its proper divisors (6303718080).

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

1662534720 is a wasteful number, since it uses less digits than its factorization.

1662534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1662534720 is about 40774.1918374847. The cubic root of 1662534720 is about 1184.6504977937.

The spelling of 1662534720 in words is "one billion, six hundred sixty-two million, five hundred thirty-four thousand, seven hundred twenty".