1630978560 has 240 divisors, whose sum is σ = 5845708440. Its totient is φ = 419758080.

The previous prime is 1630978549. The next prime is 1630978567. The reversal of 1630978560 is 658790361.

It is a happy number.

1630978560 is a `hidden beast` number, since 1 + 630 + 9 + 7 + 8 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 976437504 + 654541056 = 31248^2 + 25584^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630978567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666940 + ... + 669380.

Almost surely, 2^1630978560 is an apocalyptic number.

1630978560 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 1630978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922854220).

1630978560 is an abundant number, since it is smaller than the sum of its proper divisors (4214729880).

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

1630978560 is a wasteful number, since it uses less digits than its factorization.

1630978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1630978560 is about 40385.3755708672. The cubic root of 1630978560 is about 1177.1073839455.

The spelling of 1630978560 in words is "one billion, six hundred thirty million, nine hundred seventy-eight thousand, five hundred sixty".