690711840 has 576 divisors, whose sum is σ = 3040571520. Its totient is φ = 145152000.

The previous prime is 690711839. The next prime is 690711841. The reversal of 690711840 is 48117096.

It is an interprime number because it is at equal distance from previous prime (690711839) and next prime (690711841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 690711795 and 690711804.

It is not an unprimeable number, because it can be changed into a prime (690711841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751715 + ... + 2751965.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2^690711840 is an apocalyptic number.

690711840 is a gapful number since it is divisible by the number (60) 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 690711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520285760).

690711840 is an abundant number, since it is smaller than the sum of its proper divisors (2349859680).

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

690711840 is a wasteful number, since it uses less digits than its factorization.

690711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 690711840 is about 26281.3972231310. The cubic root of 690711840 is about 883.9593628733.

The spelling of 690711840 in words is "six hundred ninety million, seven hundred eleven thousand, eight hundred forty".