1602456960 has 512 divisors, whose sum is σ = 6031872000. Its totient is φ = 358318080.

The previous prime is 1602456923. The next prime is 1602456983. The reversal of 1602456960 is 696542061.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14701386 + ... + 14701494.

It is an arithmetic number, because the mean of its divisors is an integer number (11781000).

Almost surely, 2^1602456960 is an apocalyptic number.

1602456960 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 1602456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015936000).

1602456960 is an abundant number, since it is smaller than the sum of its proper divisors (4429415040).

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

1602456960 is a wasteful number, since it uses less digits than its factorization.

1602456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1602456960 is about 40030.7002187071. The cubic root of 1602456960 is about 1170.2054719857.

The spelling of 1602456960 in words is "one billion, six hundred two million, four hundred fifty-six thousand, nine hundred sixty".