49296640 has 72 divisors (see below), whose sum is σ = 124356960. Its totient is φ = 18671616.

The previous prime is 49296629. The next prime is 49296647. The reversal of 49296640 is 4669294.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 49296593 and 49296602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49296647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23307 + ... + 25333.

It is an arithmetic number, because the mean of its divisors is an integer number (1727180).

Almost surely, 2^49296640 is an apocalyptic number.

49296640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49296640 is the 4054-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62178480).

49296640 is an abundant number, since it is smaller than the sum of its proper divisors (75060320).

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

49296640 is a wasteful number, since it uses less digits than its factorization.

49296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 49296640 is about 7021.1565998773. The cubic root of 49296640 is about 366.6675188226.

The spelling of 49296640 in words is "forty-nine million, two hundred ninety-six thousand, six hundred forty".