86290820 has 96 divisors (see below), whose sum is σ = 228130560. Its totient is φ = 26634240.

The previous prime is 86290807. The next prime is 86290823. The reversal of 86290820 is 2809268.

86290820 = T₃₃ + T₃₄ + ... + T₈₀₂.

It is a super-2 number, since 2×86290820² = 14892211232544800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (86290823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210776 + ... + 211184.

It is an arithmetic number, because the mean of its divisors is an integer number (2376360).

Almost surely, 2^86290820 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 86290820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114065280).

86290820 is an abundant number, since it is smaller than the sum of its proper divisors (141839740).

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

86290820 is a wasteful number, since it uses less digits than its factorization.

86290820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 86290820 is about 9289.2852254627. The cubic root of 86290820 is about 441.8974871971.

The spelling of 86290820 in words is "eighty-six million, two hundred ninety thousand, eight hundred twenty".