830629590 has 128 divisors (see below), whose sum is σ = 2428600320. Its totient is φ = 177691008.

The previous prime is 830629573. The next prime is 830629601. The reversal of 830629590 is 95926038.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225181 + ... + 228839.

It is an arithmetic number, because the mean of its divisors is an integer number (18973440).

Almost surely, 2^830629590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830629590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214300160).

830629590 is an abundant number, since it is smaller than the sum of its proper divisors (1597970730).

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

830629590 is a wasteful number, since it uses less digits than its factorization.

830629590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 830629590 is about 28820.6452044364. The cubic root of 830629590 is about 940.0171982669.

The spelling of 830629590 in words is "eight hundred thirty million, six hundred twenty-nine thousand, five hundred ninety".