1285937664 has 320 divisors, whose sum is σ = 4097630592. Its totient is φ = 356843520.

The previous prime is 1285937621. The next prime is 1285937669. The reversal of 1285937664 is 4667395821.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (70).

It is not an unprimeable number, because it can be changed into a prime (1285937669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34755054 + ... + 34755090.

Almost surely, 2^1285937664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048815296).

1285937664 is an abundant number, since it is smaller than the sum of its proper divisors (2811692928).

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

1285937664 is an equidigital number, since it uses as much as digits as its factorization.

1285937664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 1285937664 is about 35859.9730061248. The cubic root of 1285937664 is about 1087.4433426950.

The spelling of 1285937664 in words is "one billion, two hundred eighty-five million, nine hundred thirty-seven thousand, six hundred sixty-four".