87739200 has 210 divisors, whose sum is σ = 322983606. Its totient is φ = 23362560.

The previous prime is 87739187. The next prime is 87739213. The reversal of 87739200 is 293778.

It is an interprime number because it is at equal distance from previous prime (87739187) and next prime (87739213).

It can be written as a sum of positive squares in 3 ways, for example, as 28387584 + 59351616 = 5328^2 + 7704^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129262 + ... + 129938.

Almost surely, 2^87739200 is an apocalyptic number.

87739200 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 87739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161491803).

87739200 is an abundant number, since it is smaller than the sum of its proper divisors (235244406).

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

87739200 is a wasteful number, since it uses less digits than its factorization.

87739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 87739200 is about 9366.9205185055. The cubic root of 87739200 is about 444.3561787681.

The spelling of 87739200 in words is "eighty-seven million, seven hundred thirty-nine thousand, two hundred".