82150640 has 160 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 26772480.

The previous prime is 82150609. The next prime is 82150657. The reversal of 82150640 is 4605128.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 491837 + ... + 492003.

Almost surely, 2^82150640 is an apocalyptic number.

82150640 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 82150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

82150640 is an abundant number, since it is smaller than the sum of its proper divisors (148834576).

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

82150640 is a wasteful number, since it uses less digits than its factorization.

82150640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82150640 is about 9063.6990241292. The cubic root of 82150640 is about 434.7140235120.

Adding to 82150640 its reverse (4605128), we get a palindrome (86755768).

The spelling of 82150640 in words is "eighty-two million, one hundred fifty thousand, six hundred forty".