82629144 has 96 divisors (see below), whose sum is σ = 246726480. Its totient is φ = 24820992.

The previous prime is 82629097. The next prime is 82629191. The reversal of 82629144 is 44192628.

It is an interprime number because it is at equal distance from previous prime (82629097) and next prime (82629191).

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 junction number, because it is equal to n+sod(n) for n = 82629099 and 82629108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39222 + ... + 41274.

Almost surely, 2^82629144 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 82629144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123363240).

82629144 is an abundant number, since it is smaller than the sum of its proper divisors (164097336).

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

82629144 is a wasteful number, since it uses less digits than its factorization.

82629144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2114 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82629144 is about 9090.0574255612. The cubic root of 82629144 is about 435.5564183695.

The spelling of 82629144 in words is "eighty-two million, six hundred twenty-nine thousand, one hundred forty-four".