82963440 has 400 divisors, whose sum is σ = 345692160. Its totient is φ = 18040320.

The previous prime is 82963427. The next prime is 82963483. The reversal of 82963440 is 4436928.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 82963395 and 82963404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1406131 + ... + 1406189.

Almost surely, 2^82963440 is an apocalyptic number.

82963440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

82963440 is an abundant number, since it is smaller than the sum of its proper divisors (262728720).

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

82963440 is a wasteful number, since it uses less digits than its factorization.

82963440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82963440 is about 9108.4268674673. The cubic root of 82963440 is about 436.1430106294.

The spelling of 82963440 in words is "eighty-two million, nine hundred sixty-three thousand, four hundred forty".