1290784896 has 288 divisors, whose sum is σ = 4065317100. Its totient is φ = 407586816.

The previous prime is 1290784861. The next prime is 1290784897. The reversal of 1290784896 is 6984870921.

1290784896 is a `hidden beast` number, since 1 + 2 + 90 + 78 + 489 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1270209600 + 20575296 = 35640^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1290784896² = 3332251295483461632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1290784897) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24354406 + ... + 24354458.

Almost surely, 2^1290784896 is an apocalyptic number.

1290784896 is a gapful number since it is divisible by the number (16) 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 1290784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032658550).

1290784896 is an abundant number, since it is smaller than the sum of its proper divisors (2774532204).

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

1290784896 is an frugal number, since it uses more digits than its factorization.

1290784896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1290784896 is about 35927.4949864307. The cubic root of 1290784896 is about 1088.8079710582.

The spelling of 1290784896 in words is "one billion, two hundred ninety million, seven hundred eighty-four thousand, eight hundred ninety-six".