87967920 has 80 divisors (see below), whose sum is σ = 276491232. Its totient is φ = 23132160.

The previous prime is 87967903. The next prime is 87967921. The reversal of 87967920 is 2976978.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87967920.

It is not an unprimeable number, because it can be changed into a prime (87967921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15010 + ... + 20030.

Almost surely, 2^87967920 is an apocalyptic number.

87967920 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 87967920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138245616).

87967920 is an abundant number, since it is smaller than the sum of its proper divisors (188523312).

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

87967920 is a wasteful number, since it uses less digits than its factorization.

87967920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 87967920 is about 9379.1214940420. The cubic root of 87967920 is about 444.7419620892.

The spelling of 87967920 in words is "eighty-seven million, nine hundred sixty-seven thousand, nine hundred twenty".