1290746016 has 288 divisors, whose sum is σ = 4543838208. Its totient is φ = 352408320.

The previous prime is 1290746011. The next prime is 1290746021. The reversal of 1290746016 is 6106470921.

It is an interprime number because it is at equal distance from previous prime (1290746011) and next prime (1290746021).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290746011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251421 + ... + 1252451.

It is an arithmetic number, because the mean of its divisors is an integer number (15777216).

Almost surely, 2^1290746016 is an apocalyptic number.

1290746016 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 1290746016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271919104).

1290746016 is an abundant number, since it is smaller than the sum of its proper divisors (3253092192).

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

1290746016 is a wasteful number, since it uses less digits than its factorization.

1290746016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

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

The square root of 1290746016 is about 35926.9538925860. The cubic root of 1290746016 is about 1088.7970388781.

The spelling of 1290746016 in words is "one billion, two hundred ninety million, seven hundred forty-six thousand, sixteen".