1065600480 has 192 divisors, whose sum is σ = 3883396608. Its totient is φ = 240568320.

The previous prime is 1065600467. The next prime is 1065600493. The reversal of 1065600480 is 840065601.

It is an interprime number because it is at equal distance from previous prime (1065600467) and next prime (1065600493).

It is a super-2 number, since 2×1065600480² = 2271008765952460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276970 + ... + 280790.

It is an arithmetic number, because the mean of its divisors is an integer number (20226024).

Almost surely, 2^1065600480 is an apocalyptic number.

1065600480 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 1065600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941698304).

1065600480 is an abundant number, since it is smaller than the sum of its proper divisors (2817796128).

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

1065600480 is a wasteful number, since it uses less digits than its factorization.

1065600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1065600480 is about 32643.5365731105. The cubic root of 1065600480 is about 1021.4053676618.

The spelling of 1065600480 in words is "one billion, sixty-five million, six hundred thousand, four hundred eighty".