1302097680 has 600 divisors, whose sum is σ = 5189433480. Its totient is φ = 301916160.

The previous prime is 1302097661. The next prime is 1302097691. The reversal of 1302097680 is 867902031.

It can be written as a sum of positive squares in 12 ways, for example, as 1059111936 + 242985744 = 32544^2 + 15588^2 .

It is a super-2 number, since 2×1302097680² = 3390916736522764800, which contains 22 as substring.

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

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31758460 + ... + 31758500.

Almost surely, 2^1302097680 is an apocalyptic number.

1302097680 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 1302097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594716740).

1302097680 is an abundant number, since it is smaller than the sum of its proper divisors (3887335800).

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

1302097680 is a wasteful number, since it uses less digits than its factorization.

1302097680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1302097680 is about 36084.5906170487. The cubic root of 1302097680 is about 1091.9795914553.

The spelling of 1302097680 in words is "one billion, three hundred two million, ninety-seven thousand, six hundred eighty".