83570940 has 120 divisors (see below), whose sum is σ = 265890240. Its totient is φ = 21969792.

The previous prime is 83570939. The next prime is 83570941. The reversal of 83570940 is 4907538.

83570940 is a `hidden beast` number, since 83 + 570 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83570939) and next prime (83570941).

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 = 83570895 and 83570904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83570941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127654 + ... + 128306.

It is an arithmetic number, because the mean of its divisors is an integer number (2215752).

Almost surely, 2^83570940 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 83570940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132945120).

83570940 is an abundant number, since it is smaller than the sum of its proper divisors (182319300).

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

83570940 is a wasteful number, since it uses less digits than its factorization.

83570940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83570940 is about 9141.7142812494. The cubic root of 83570940 is about 437.2049755192.

The spelling of 83570940 in words is "eighty-three million, five hundred seventy thousand, nine hundred forty".