1652742720 has 168 divisors, whose sum is σ = 6019321464. Its totient is φ = 414793728.

The previous prime is 1652742713. The next prime is 1652742731. The reversal of 1652742720 is 272472561.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 429981696 + 1222761024 = 20736^2 + 34968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32082 + ... + 65838.

Almost surely, 2^1652742720 is an apocalyptic number.

1652742720 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 1652742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009660732).

1652742720 is an abundant number, since it is smaller than the sum of its proper divisors (4366578744).

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

1652742720 is a wasteful number, since it uses less digits than its factorization.

1652742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33797 (or 33784 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1652742720 is about 40653.9385545853. The cubic root of 1652742720 is about 1182.3201311072.

The spelling of 1652742720 in words is "one billion, six hundred fifty-two million, seven hundred forty-two thousand, seven hundred twenty".