49686560 has 192 divisors, whose sum is σ = 151683840. Its totient is φ = 14929920.

The previous prime is 49686557. The next prime is 49686613. The reversal of 49686560 is 6568694.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455786 + ... + 455894.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 2^49686560 is an apocalyptic number.

49686560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49686560 is the 4070-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

49686560 is an abundant number, since it is smaller than the sum of its proper divisors (101997280).

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

49686560 is a wasteful number, since it uses less digits than its factorization.

49686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 49686560 is about 7048.8694128917. The cubic root of 49686560 is about 367.6317204104.

The spelling of 49686560 in words is "forty-nine million, six hundred eighty-six thousand, five hundred sixty".