288962640 has 200 divisors, whose sum is σ = 1056881760. Its totient is φ = 72969984.

The previous prime is 288962599. The next prime is 288962671. The reversal of 288962640 is 46269882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121947 + ... + 124293.

Almost surely, 2^288962640 is an apocalyptic number.

288962640 is a gapful number since it is divisible by the number (20) 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 288962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528440880).

288962640 is an abundant number, since it is smaller than the sum of its proper divisors (767919120).

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

288962640 is a wasteful number, since it uses less digits than its factorization.

288962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 288962640 is about 16998.9011409561. The cubic root of 288962640 is about 661.1204109722.

The spelling of 288962640 in words is "two hundred eighty-eight million, nine hundred sixty-two thousand, six hundred forty".