49097664 has 336 divisors, whose sum is σ = 186391296. Its totient is φ = 12441600.

The previous prime is 49097647. The next prime is 49097677. The reversal of 49097664 is 46679094.

49097664 = 172³ + 173³ + ... + 180³.

49097664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×49097664² = 4821161220513792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1197484 + ... + 1197524.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 2^49097664 is an apocalyptic number.

49097664 is a gapful number since it is divisible by the number (44) 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 49097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648).

49097664 is an abundant number, since it is smaller than the sum of its proper divisors (137293632).

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

49097664 is a wasteful number, since it uses less digits than its factorization.

49097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 49097664 is about 7006.9725274187. The cubic root of 49097664 is about 366.1735269597.

The spelling of 49097664 in words is "forty-nine million, ninety-seven thousand, six hundred sixty-four".