286961664 has 156 divisors (see below), whose sum is σ = 845376728. Its totient is φ = 86507520.

The previous prime is 286961651. The next prime is 286961671. The reversal of 286961664 is 466169682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486752 + ... + 1486944.

Almost surely, 2^286961664 is an apocalyptic number.

286961664 is a gapful number since it is divisible by the number (24) 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 286961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422688364).

286961664 is an abundant number, since it is smaller than the sum of its proper divisors (558415064).

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

286961664 is a wasteful number, since it uses less digits than its factorization.

286961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 286961664 is about 16939.9428570465. The cubic root of 286961664 is about 659.5908575309.

The spelling of 286961664 in words is "two hundred eighty-six million, nine hundred sixty-one thousand, six hundred sixty-four".