826651680 has 48 divisors (see below), whose sum is σ = 2603954304. Its totient is φ = 220440320.

The previous prime is 826651663. The next prime is 826651739. The reversal of 826651680 is 86156628.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 860616 + ... + 861575.

It is an arithmetic number, because the mean of its divisors is an integer number (54249048).

Almost surely, 2^826651680 is an apocalyptic number.

826651680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826651680 is an abundant number, since it is smaller than the sum of its proper divisors (1777302624).

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

826651680 is a wasteful number, since it uses less digits than its factorization.

826651680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722209 (or 1722201 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 826651680 is about 28751.5509146898. The cubic root of 826651680 is about 938.5142062380.

The spelling of 826651680 in words is "eight hundred twenty-six million, six hundred fifty-one thousand, six hundred eighty".