88061040 has 160 divisors (see below), whose sum is σ = 308908800. Its totient is φ = 23051520.

The previous prime is 88061027. The next prime is 88061041. The reversal of 88061040 is 4016088.

88061040 is a `hidden beast` number, since 8 + 8 + 0 + 610 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 88060995 and 88061013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88061041) 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, 127095 + ... + 127785.

It is an arithmetic number, because the mean of its divisors is an integer number (1930680).

Almost surely, 2^88061040 is an apocalyptic number.

88061040 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 88061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154454400).

88061040 is an abundant number, since it is smaller than the sum of its proper divisors (220847760).

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

88061040 is a wasteful number, since it uses less digits than its factorization.

88061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88061040 is about 9384.0843985974. The cubic root of 88061040 is about 444.8988365755.

The spelling of 88061040 in words is "eighty-eight million, sixty-one thousand, forty".