48967632 has 80 divisors (see below), whose sum is σ = 160644480. Its totient is φ = 13989888.

The previous prime is 48967619. The next prime is 48967649. The reversal of 48967632 is 23676984.

48967632 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 7 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5073 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (2008056).

Almost surely, 2^48967632 is an apocalyptic number.

48967632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48967632 is an abundant number, since it is smaller than the sum of its proper divisors (111676848).

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

48967632 is a wasteful number, since it uses less digits than its factorization.

48967632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16205 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 48967632 is about 6997.6876180636. The cubic root of 48967632 is about 365.8499788274.

It can be divided in two parts, 489 and 67632, that added together give a square (68121 = 261²).

The spelling of 48967632 in words is "forty-eight million, nine hundred sixty-seven thousand, six hundred thirty-two".