4087640592 has 160 divisors (see below), whose sum is σ = 13992437760. Its totient is φ = 1117100160.

The previous prime is 4087640573. The next prime is 4087640597. The reversal of 4087640592 is 2950467804.

It is a happy number.

It is a super-2 number, since 2×4087640592² = 33417611218732220928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4087640597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40167 + ... + 98937.

It is an arithmetic number, because the mean of its divisors is an integer number (87452736).

Almost surely, 2^4087640592 is an apocalyptic number.

4087640592 is a gapful number since it is divisible by the number (42) 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 4087640592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996218880).

4087640592 is an abundant number, since it is smaller than the sum of its proper divisors (9904797168).

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

4087640592 is a wasteful number, since it uses less digits than its factorization.

4087640592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58818 (or 58806 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4087640592 is about 63934.6587697158. The cubic root of 4087640592 is about 1598.9107941040.

The spelling of 4087640592 in words is "four billion, eighty-seven million, six hundred forty thousand, five hundred ninety-two".