87349374 has 64 divisors (see below), whose sum is σ = 225216000. Its totient is φ = 24577344.

The previous prime is 87349369. The next prime is 87349397. The reversal of 87349374 is 47394378.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (508032) is a multiple of the sum of its prime divisors (3528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23602 + ... + 27050.

It is an arithmetic number, because the mean of its divisors is an integer number (3519000).

Almost surely, 2^87349374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87349374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112608000).

87349374 is an abundant number, since it is smaller than the sum of its proper divisors (137866626).

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

87349374 is a wasteful number, since it uses less digits than its factorization.

87349374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3528 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 87349374 is about 9346.0887006277. The cubic root of 87349374 is about 443.6971089775.

The spelling of 87349374 in words is "eighty-seven million, three hundred forty-nine thousand, three hundred seventy-four".