87917940 has 288 divisors, whose sum is σ = 322600320. Its totient is φ = 19699200.

The previous prime is 87917939. The next prime is 87917993. The reversal of 87917940 is 4971978.

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 a congruent number.

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, 2144320 + ... + 2144360.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2^87917940 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 87917940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

87917940 is an abundant number, since it is smaller than the sum of its proper divisors (234682380).

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

87917940 is a wasteful number, since it uses less digits than its factorization.

87917940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

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

The square root of 87917940 is about 9376.4566868301. The cubic root of 87917940 is about 444.6577176876.

The spelling of 87917940 in words is "eighty-seven million, nine hundred seventeen thousand, nine hundred forty".