82353480 has 128 divisors (see below), whose sum is σ = 272937600. Its totient is φ = 19712000.

The previous prime is 82353473. The next prime is 82353493. The reversal of 82353480 is 8435328.

It is a super-2 number, since 2×82353480² = 13564191336220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 117130 + ... + 117830.

It is an arithmetic number, because the mean of its divisors is an integer number (2132325).

Almost surely, 2^82353480 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 82353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136468800).

82353480 is an abundant number, since it is smaller than the sum of its proper divisors (190584120).

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

82353480 is a wasteful number, since it uses less digits than its factorization.

82353480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 82353480 is about 9074.8818174123. The cubic root of 82353480 is about 435.0715168450.

The spelling of 82353480 in words is "eighty-two million, three hundred fifty-three thousand, four hundred eighty".