87751620 has 288 divisors, whose sum is σ = 321753600. Its totient is φ = 19768320.

The previous prime is 87751583. The next prime is 87751639. The reversal of 87751620 is 2615778.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1110741 + ... + 1110819.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^87751620 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 87751620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

87751620 is an abundant number, since it is smaller than the sum of its proper divisors (234001980).

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

87751620 is a wasteful number, since it uses less digits than its factorization.

87751620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87751620 is about 9367.5834664016. The cubic root of 87751620 is about 444.3771448560.

The spelling of 87751620 in words is "eighty-seven million, seven hundred fifty-one thousand, six hundred twenty".