49601664 has 96 divisors (see below), whose sum is σ = 163151040. Its totient is φ = 14169600.

The previous prime is 49601659. The next prime is 49601681. The reversal of 49601664 is 46610694.

49601664 is a `hidden beast` number, since 49 + 601 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4989 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (1699490).

Almost surely, 2^49601664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81575520).

49601664 is an abundant number, since it is smaller than the sum of its proper divisors (113549376).

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

49601664 is a wasteful number, since it uses less digits than its factorization.

49601664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49601664 is about 7042.8448797343. The cubic root of 49601664 is about 367.4222187186.

The spelling of 49601664 in words is "forty-nine million, six hundred one thousand, six hundred sixty-four".