49693600 has 72 divisors (see below), whose sum is σ = 132366528. Its totient is φ = 18067200.

The previous prime is 49693571. The next prime is 49693613. The reversal of 49693600 is 639694.

It is a self number, because there is not a number n which added to its sum of digits gives 49693600.

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, 5977 + ... + 11623.

It is an arithmetic number, because the mean of its divisors is an integer number (1838424).

Almost surely, 2^49693600 is an apocalyptic number.

49693600 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 49693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66183264).

49693600 is an abundant number, since it is smaller than the sum of its proper divisors (82672928).

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

49693600 is a wasteful number, since it uses less digits than its factorization.

49693600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 49693600 is about 7049.3687660669. The cubic root of 49693600 is about 367.6490826179.

The spelling of 49693600 in words is "forty-nine million, six hundred ninety-three thousand, six hundred".