88400961 has 48 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 50400000.

The previous prime is 88400953. The next prime is 88400981. The reversal of 88400961 is 16900488.

It is a happy number.

It is not a de Polignac number, because 88400961 - 2³ = 88400953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88400911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117336 + ... + 118086.

It is an arithmetic number, because the mean of its divisors is an integer number (3079440).

Almost surely, 2^88400961 is an apocalyptic number.

It is an amenable number.

88400961 is a deficient number, since it is larger than the sum of its proper divisors (59412159).

88400961 is a wasteful number, since it uses less digits than its factorization.

88400961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88400961 is about 9402.1785241507. The cubic root of 88400961 is about 445.4705471654.

The spelling of 88400961 in words is "eighty-eight million, four hundred thousand, nine hundred sixty-one".