87020730 has 128 divisors (see below), whose sum is σ = 246551040. Its totient is φ = 22068288.

The previous prime is 87020723. The next prime is 87020749. The reversal of 87020730 is 3702078.

87020730 = T₁₁₄ + T₁₁₅ + ... + T₈₀₅.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 87020694 and 87020703.

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, 502924 + ... + 503096.

It is an arithmetic number, because the mean of its divisors is an integer number (1926180).

Almost surely, 2^87020730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87020730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123275520).

87020730 is an abundant number, since it is smaller than the sum of its proper divisors (159530310).

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

87020730 is a wasteful number, since it uses less digits than its factorization.

87020730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 87020730 is about 9328.4902315434. The cubic root of 87020730 is about 443.1399530975.

The spelling of 87020730 in words is "eighty-seven million, twenty thousand, seven hundred thirty".