649809360 has 120 divisors (see below), whose sum is σ = 2310689160. Its totient is φ = 163086336.

The previous prime is 649809359. The next prime is 649809371. The reversal of 649809360 is 63908946.

It can be written as a sum of positive squares in 4 ways, for example, as 28005264 + 621804096 = 5292^2 + 24936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14305 + ... + 38784.

It is an arithmetic number, because the mean of its divisors is an integer number (19255743).

Almost surely, 2^649809360 is an apocalyptic number.

649809360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

649809360 is an abundant number, since it is smaller than the sum of its proper divisors (1660879800).

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

649809360 is a wasteful number, since it uses less digits than its factorization.

649809360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53125 (or 53116 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 649809360 is about 25491.3585357862. The cubic root of 649809360 is about 866.1544099715.

It can be divided in two parts, 64 and 9809360, that added together give a square (9809424 = 3132²).

The spelling of 649809360 in words is "six hundred forty-nine million, eight hundred nine thousand, three hundred sixty".