48544640 has 64 divisors (see below), whose sum is σ = 117357120. Its totient is φ = 19200000.

The previous prime is 48544627. The next prime is 48544681. The reversal of 48544640 is 4644584.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×48544640³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48544640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64265 + ... + 65015.

It is an arithmetic number, because the mean of its divisors is an integer number (1833705).

Almost surely, 2^48544640 is an apocalyptic number.

48544640 is a gapful number since it is divisible by the number (40) 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 48544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58678560).

48544640 is an abundant number, since it is smaller than the sum of its proper divisors (68812480).

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

48544640 is a wasteful number, since it uses less digits than its factorization.

48544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 48544640 is about 6967.3983666789. The cubic root of 48544640 is about 364.7935030135.

The spelling of 48544640 in words is "forty-eight million, five hundred forty-four thousand, six hundred forty".