87941970 has 64 divisors (see below), whose sum is σ = 240877440. Its totient is φ = 22814784.

The previous prime is 87941951. The next prime is 87941981. The reversal of 87941970 is 7914978.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5589 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (3763710).

Almost surely, 2^87941970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87941970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120438720).

87941970 is an abundant number, since it is smaller than the sum of its proper divisors (152935470).

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

87941970 is a wasteful number, since it uses less digits than its factorization.

87941970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 87941970 is about 9377.7380001789. The cubic root of 87941970 is about 444.6982257326.

It can be divided in two parts, 879 and 41970, that added together give a square (42849 = 207²).

The spelling of 87941970 in words is "eighty-seven million, nine hundred forty-one thousand, nine hundred seventy".