88465000 has 80 divisors (see below), whose sum is σ = 223381620. Its totient is φ = 32640000.

The previous prime is 88464967. The next prime is 88465001. The reversal of 88465000 is 56488.

It can be written as a sum of positive squares in 10 ways, for example, as 33200644 + 55264356 = 5762^2 + 7434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88465001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64320 + ... + 65680.

Almost surely, 2^88465000 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 88465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111690810).

88465000 is an abundant number, since it is smaller than the sum of its proper divisors (134916620).

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

88465000 is a wasteful number, since it uses less digits than its factorization.

88465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 88465000 is about 9405.5834481440. The cubic root of 88465000 is about 445.5780897465.

The spelling of 88465000 in words is "eighty-eight million, four hundred sixty-five thousand".