49081680 has 160 divisors (see below), whose sum is σ = 174750720. Its totient is φ = 12648960.

The previous prime is 49081679. The next prime is 49081723. The reversal of 49081680 is 8618094.

It is a happy number.

49081680 is a `hidden beast` number, since 490 + 8 + 168 + 0 = 666.

It is a super-2 number, since 2×49081680² = 4818022623244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 66594 + ... + 67326.

It is an arithmetic number, because the mean of its divisors is an integer number (1092192).

Almost surely, 2^49081680 is an apocalyptic number.

49081680 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 49081680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87375360).

49081680 is an abundant number, since it is smaller than the sum of its proper divisors (125669040).

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

49081680 is a wasteful number, since it uses less digits than its factorization.

49081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49081680 is about 7005.8318563894. The cubic root of 49081680 is about 366.1337860810.

The spelling of 49081680 in words is "forty-nine million, eighty-one thousand, six hundred eighty".