49626672 has 80 divisors (see below), whose sum is σ = 138107232. Its totient is φ = 15298560.

The previous prime is 49626671. The next prime is 49626673. The reversal of 49626672 is 27662694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49626671) and next prime (49626673).

It is not an unprimeable number, because it can be changed into a prime (49626671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49278 + ... + 50274.

Almost surely, 2^49626672 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 49626672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69053616).

49626672 is an abundant number, since it is smaller than the sum of its proper divisors (88480560).

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

49626672 is a wasteful number, since it uses less digits than its factorization.

49626672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 49626672 is about 7044.6200749224. The cubic root of 49626672 is about 367.4839569099.

The spelling of 49626672 in words is "forty-nine million, six hundred twenty-six thousand, six hundred seventy-two".