85461552 has 120 divisors (see below), whose sum is σ = 263310528. Its totient is φ = 25660800.

The previous prime is 85461517. The next prime is 85461553. The reversal of 85461552 is 25516458.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85461553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258027 + ... + 258357.

Almost surely, 2^85461552 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 85461552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131655264).

85461552 is an abundant number, since it is smaller than the sum of its proper divisors (177848976).

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

85461552 is a wasteful number, since it uses less digits than its factorization.

85461552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 85461552 is about 9244.5417409410. The cubic root of 85461552 is about 440.4773607069.

The spelling of 85461552 in words is "eighty-five million, four hundred sixty-one thousand, five hundred fifty-two".