49927680 has 240 divisors, whose sum is σ = 189590544. Its totient is φ = 12042240.

The previous prime is 49927679. The next prime is 49927699. The reversal of 49927680 is 8672994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253342 + ... + 253538.

Almost surely, 2^49927680 is an apocalyptic number.

49927680 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 49927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94795272).

49927680 is an abundant number, since it is smaller than the sum of its proper divisors (139662864).

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

49927680 is a wasteful number, since it uses less digits than its factorization.

49927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49927680 is about 7065.9521651367. The cubic root of 49927680 is about 368.2254447203.

It can be divided in two parts, 49 and 927680, that added together give a palindrome (927729).

The spelling of 49927680 in words is "forty-nine million, nine hundred twenty-seven thousand, six hundred eighty".