86620632 has 96 divisors (see below), whose sum is σ = 255610800. Its totient is φ = 24385536.

The previous prime is 86620621. The next prime is 86620643. The reversal of 86620632 is 23602668.

It is an interprime number because it is at equal distance from previous prime (86620621) and next prime (86620643).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 86620593 and 86620602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85344 + ... + 86352.

Almost surely, 2^86620632 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 86620632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127805400).

86620632 is an abundant number, since it is smaller than the sum of its proper divisors (168990168).

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

86620632 is a wasteful number, since it uses less digits than its factorization.

86620632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 86620632 is about 9307.0205758879. The cubic root of 86620632 is about 442.4597633304.

The spelling of 86620632 in words is "eighty-six million, six hundred twenty thousand, six hundred thirty-two".