87463764 has 72 divisors (see below), whose sum is σ = 236134080. Its totient is φ = 27216000.

The previous prime is 87463751. The next prime is 87463769. The reversal of 87463764 is 46736478.

87463764 is a `hidden beast` number, since 8 + 7 + 4 + 637 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87463769) 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, 47664 + ... + 49464.

It is an arithmetic number, because the mean of its divisors is an integer number (3279640).

Almost surely, 2^87463764 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 87463764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118067040).

87463764 is an abundant number, since it is smaller than the sum of its proper divisors (148670316).

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

87463764 is a wasteful number, since it uses less digits than its factorization.

87463764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1896 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 87463764 is about 9352.2063706914. The cubic root of 87463764 is about 443.8907084298.

The spelling of 87463764 in words is "eighty-seven million, four hundred sixty-three thousand, seven hundred sixty-four".