248632632 has 128 divisors (see below), whose sum is σ = 743040000. Its totient is φ = 76785408.

The previous prime is 248632621. The next prime is 248632649. The reversal of 248632632 is 236236842.

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

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 31 ways as a sum of consecutive naturals, for example, 192244 + ... + 193532.

It is an arithmetic number, because the mean of its divisors is an integer number (5805000).

Almost surely, 2^248632632 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 248632632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371520000).

248632632 is an abundant number, since it is smaller than the sum of its proper divisors (494407368).

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

248632632 is a wasteful number, since it uses less digits than its factorization.

248632632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1360 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 248632632 is about 15768.0890408445. The cubic root of 248632632 is about 628.8099074833.

It can be divided in two parts, 24863 and 2632, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 248632632 in words is "two hundred forty-eight million, six hundred thirty-two thousand, six hundred thirty-two".