82653048 has 192 divisors, whose sum is σ = 255921120. Its totient is φ = 24883200.

The previous prime is 82653029. The next prime is 82653049. The reversal of 82653048 is 84035628.

82653048 is a `hidden beast` number, since 82 + 6 + 530 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82653049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354938 + ... + 1354998.

Almost surely, 2^82653048 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 82653048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

82653048 is an abundant number, since it is smaller than the sum of its proper divisors (173268072).

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

82653048 is a wasteful number, since it uses less digits than its factorization.

82653048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82653048 is about 9091.3721736600. The cubic root of 82653048 is about 435.5984154030.

It can be divided in two parts, 8 and 2653048, that added together give a triangular number (2653056 = T₂₃₀₃).

The spelling of 82653048 in words is "eighty-two million, six hundred fifty-three thousand, forty-eight".