1290734016 has 224 divisors, whose sum is σ = 4092415488. Its totient is φ = 353832960.

The previous prime is 1290733991. The next prime is 1290734021. The reversal of 1290734016 is 6104370921.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1454725 + ... + 1455611.

It is an arithmetic number, because the mean of its divisors is an integer number (18269712).

Almost surely, 2^1290734016 is an apocalyptic number.

1290734016 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 1290734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046207744).

1290734016 is an abundant number, since it is smaller than the sum of its proper divisors (2801681472).

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

1290734016 is a wasteful number, since it uses less digits than its factorization.

1290734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1290734016 is about 35926.7868866672. The cubic root of 1290734016 is about 1088.7936647041.

The spelling of 1290734016 in words is "one billion, two hundred ninety million, seven hundred thirty-four thousand, sixteen".