83264720 has 120 divisors (see below), whose sum is σ = 245796768. Its totient is φ = 25939200.

The previous prime is 83264717. The next prime is 83264723. The reversal of 83264720 is 2746238.

It is an interprime number because it is at equal distance from previous prime (83264717) and next prime (83264723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83264723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42155 + ... + 44085.

Almost surely, 2^83264720 is an apocalyptic number.

83264720 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 83264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122898384).

83264720 is an abundant number, since it is smaller than the sum of its proper divisors (162532048).

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

83264720 is a wasteful number, since it uses less digits than its factorization.

83264720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 83264720 is about 9124.9504108242. The cubic root of 83264720 is about 436.6703209168.

The spelling of 83264720 in words is "eighty-three million, two hundred sixty-four thousand, seven hundred twenty".