85937440 has 48 divisors (see below), whose sum is σ = 210039480. Its totient is φ = 33187840.

The previous prime is 85937419. The next prime is 85937461. The reversal of 85937440 is 4473958.

It is an interprime number because it is at equal distance from previous prime (85937419) and next prime (85937461).

It can be written as a sum of positive squares in 4 ways, for example, as 85155984 + 781456 = 9228^2 + 884^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85937393 and 85937402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4621 + ... + 13900.

Almost surely, 2^85937440 is an apocalyptic number.

85937440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85937440 is an abundant number, since it is smaller than the sum of its proper divisors (124102040).

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

85937440 is a wasteful number, since it uses less digits than its factorization.

85937440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18565 (or 18557 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 85937440 is about 9270.2448727097. The cubic root of 85937440 is about 441.2934392147.

The spelling of 85937440 in words is "eighty-five million, nine hundred thirty-seven thousand, four hundred forty".