49361664 has 72 divisors (see below), whose sum is σ = 143341632. Its totient is φ = 14955520.

The previous prime is 49361633. The next prime is 49361687. The reversal of 49361664 is 46616394.

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, 5527 + ... + 11369.

It is an arithmetic number, because the mean of its divisors is an integer number (1990856).

Almost surely, 2^49361664 is an apocalyptic number.

49361664 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 49361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71670816).

49361664 is an abundant number, since it is smaller than the sum of its proper divisors (93979968).

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

49361664 is a wasteful number, since it uses less digits than its factorization.

49361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5873 (or 5859 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 49361664 is about 7025.7856500181. The cubic root of 49361664 is about 366.8286637710.

The spelling of 49361664 in words is "forty-nine million, three hundred sixty-one thousand, six hundred sixty-four".