689667264 has 224 divisors, whose sum is σ = 2382804480. Its totient is φ = 192844800.

The previous prime is 689667221. The next prime is 689667269. The reversal of 689667264 is 462766986.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 689667264.

It is not an unprimeable number, because it can be changed into a prime (689667269) 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, 245709 + ... + 248499.

It is an arithmetic number, because the mean of its divisors is an integer number (10637520).

Almost surely, 2^689667264 is an apocalyptic number.

689667264 is a gapful number since it is divisible by the number (64) 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 689667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191402240).

689667264 is an abundant number, since it is smaller than the sum of its proper divisors (1693137216).

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

689667264 is a wasteful number, since it uses less digits than its factorization.

689667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2820 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 689667264 is about 26261.5167878780. The cubic root of 689667264 is about 883.5135288095.

The spelling of 689667264 in words is "six hundred eighty-nine million, six hundred sixty-seven thousand, two hundred sixty-four".