649629552 has 320 divisors, whose sum is σ = 2111864832. Its totient is φ = 169344000.

The previous prime is 649629479. The next prime is 649629557. The reversal of 649629552 is 255926946.

649629552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1166400) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649629557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9149677 + ... + 9149747.

Almost surely, 2^649629552 is an apocalyptic number.

649629552 is a gapful number since it is divisible by the number (62) 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 649629552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055932416).

649629552 is an abundant number, since it is smaller than the sum of its proper divisors (1462235280).

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

649629552 is a wasteful number, since it uses less digits than its factorization.

649629552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 649629552 is about 25487.8314495369. The cubic root of 649629552 is about 866.0745117382.

The spelling of 649629552 in words is "six hundred forty-nine million, six hundred twenty-nine thousand, five hundred fifty-two".