86734400 has 84 divisors (see below), whose sum is σ = 215432640. Its totient is φ = 34368000.

The previous prime is 86734387. The next prime is 86734409. The reversal of 86734400 is 443768.

It is a happy number.

It is a super-2 number, since 2×86734400² = 15045712286720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (86734409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241421 + ... + 241779.

Almost surely, 2^86734400 is an apocalyptic number.

86734400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107716320).

86734400 is an abundant number, since it is smaller than the sum of its proper divisors (128698240).

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

86734400 is a wasteful number, since it uses less digits than its factorization.

86734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 86734400 is about 9313.1305155678. The cubic root of 86734400 is about 442.6533882567.

The spelling of 86734400 in words is "eighty-six million, seven hundred thirty-four thousand, four hundred".